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Finding the Fourth Proportional to 152,310.78, 210,188.85 and 85,242.78

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Solution

The fourth proportional to 152,310.78, 210,188.85 and 85,242.78 is: 117,635.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,310.78 : 210,188.85 = 85,242.78 : x
  2. Step 2: Convert to fraction form
    152,310.78/210,188.85 = 85,242.78/x
  3. Step 3: Cross multiply
    152,310.78x = 210,188.85 × 85,242.78
  4. Step 4: Simplify right side
    152,310.78x = 17,917,081,899.00
  5. Step 5: Solve for x
    x = 17,917,081,899.00/152,310.78
  6. Step 6: Final answer
    x = 117,635.02

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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.