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Finding the Fourth Proportional to 138,575.90, 207,863.85 and 85,814.30

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Solution

The fourth proportional to 138,575.90, 207,863.85 and 85,814.30 is: 128,721.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,575.90 : 207,863.85 = 85,814.30 : x
  2. Step 2: Convert to fraction form
    138,575.90/207,863.85 = 85,814.30/x
  3. Step 3: Cross multiply
    138,575.90x = 207,863.85 × 85,814.30
  4. Step 4: Simplify right side
    138,575.90x = 17,837,690,783.06
  5. Step 5: Solve for x
    x = 17,837,690,783.06/138,575.90
  6. Step 6: Final answer
    x = 128,721.45

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1.5x scale

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.