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Finding the Fourth Proportional to 138,410.55, 207,451.80 and 71,816.40

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Solution

The fourth proportional to 138,410.55, 207,451.80 and 71,816.40 is: 107,639.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,410.55 : 207,451.80 = 71,816.40 : x
  2. Step 2: Convert to fraction form
    138,410.55/207,451.80 = 71,816.40/x
  3. Step 3: Cross multiply
    138,410.55x = 207,451.80 × 71,816.40
  4. Step 4: Simplify right side
    138,410.55x = 14,898,441,449.52
  5. Step 5: Solve for x
    x = 14,898,441,449.52/138,410.55
  6. Step 6: Final answer
    x = 107,639.49

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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.