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Finding the Fourth Proportional to 138,344.30, 207,516.45 and 85,856.30

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Solution

The fourth proportional to 138,344.30, 207,516.45 and 85,856.30 is: 128,784.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,344.30 : 207,516.45 = 85,856.30 : x
  2. Step 2: Convert to fraction form
    138,344.30/207,516.45 = 85,856.30/x
  3. Step 3: Cross multiply
    138,344.30x = 207,516.45 × 85,856.30
  4. Step 4: Simplify right side
    138,344.30x = 17,816,594,586.14
  5. Step 5: Solve for x
    x = 17,816,594,586.14/138,344.30
  6. Step 6: Final answer
    x = 128,784.45

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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.