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Finding the Fourth Proportional to 145,712,872.24, 201,108,640.64 and 86,978,566.96

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Solution

The fourth proportional to 145,712,872.24, 201,108,640.64 and 86,978,566.96 is: 120,045,271.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,712,872.24 : 201,108,640.64 = 86,978,566.96 : x
  2. Step 2: Convert to fraction form
    145,712,872.24/201,108,640.64 = 86,978,566.96/x
  3. Step 3: Cross multiply
    145,712,872.24x = 201,108,640.64 × 86,978,566.96
  4. Step 4: Simplify right side
    145,712,872.24x = 17,492,141,366,140,814
  5. Step 5: Solve for x
    x = 17,492,141,366,140,814/145,712,872.24
  6. Step 6: Final answer
    x = 120,045,271.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.