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Finding the Fourth Proportional to 138,525.30, 207,269.55 and 91,869.30

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Solution

The fourth proportional to 138,525.30, 207,269.55 and 91,869.30 is: 137,460.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,525.30 : 207,269.55 = 91,869.30 : x
  2. Step 2: Convert to fraction form
    138,525.30/207,269.55 = 91,869.30/x
  3. Step 3: Cross multiply
    138,525.30x = 207,269.55 × 91,869.30
  4. Step 4: Simplify right side
    138,525.30x = 19,041,708,469.82
  5. Step 5: Solve for x
    x = 19,041,708,469.82/138,525.30
  6. Step 6: Final answer
    x = 137,460.15

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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.