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Finding the Fourth Proportional to 138,437.80, 207,656.70 and 137,125.60

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Solution

The fourth proportional to 138,437.80, 207,656.70 and 137,125.60 is: 205,688.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,437.80 : 207,656.70 = 137,125.60 : x
  2. Step 2: Convert to fraction form
    138,437.80/207,656.70 = 137,125.60/x
  3. Step 3: Cross multiply
    138,437.80x = 207,656.70 × 137,125.60
  4. Step 4: Simplify right side
    138,437.80x = 28,475,049,581.52
  5. Step 5: Solve for x
    x = 28,475,049,581.52/138,437.80
  6. Step 6: Final answer
    x = 205,688.40

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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.