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Finding the Fourth Proportional to 140,315, 210,490.40 and 64,395.12

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Solution

The fourth proportional to 140,315, 210,490.40 and 64,395.12 is: 96,600.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,315 : 210,490.40 = 64,395.12 : x
  2. Step 2: Convert to fraction form
    140,315/210,490.40 = 64,395.12/x
  3. Step 3: Cross multiply
    140,315x = 210,490.40 × 64,395.12
  4. Step 4: Simplify right side
    140,315x = 13,554,554,566.85
  5. Step 5: Solve for x
    x = 13,554,554,566.85/140,315
  6. Step 6: Final answer
    x = 96,600.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.