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Finding the Fourth Proportional to 138,501.56, 207,678.48 and 71,874.60

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Solution

The fourth proportional to 138,501.56, 207,678.48 and 71,874.60 is: 107,773.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,501.56 : 207,678.48 = 71,874.60 : x
  2. Step 2: Convert to fraction form
    138,501.56/207,678.48 = 71,874.60/x
  3. Step 3: Cross multiply
    138,501.56x = 207,678.48 × 71,874.60
  4. Step 4: Simplify right side
    138,501.56x = 14,926,807,678.61
  5. Step 5: Solve for x
    x = 14,926,807,678.61/138,501.56
  6. Step 6: Final answer
    x = 107,773.57

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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.