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Finding the Fourth Proportional to 138,606.77, 207,932.59 and 54,321.23

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Solution

The fourth proportional to 138,606.77, 207,932.59 and 54,321.23 is: 81,490.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,606.77 : 207,932.59 = 54,321.23 : x
  2. Step 2: Convert to fraction form
    138,606.77/207,932.59 = 54,321.23/x
  3. Step 3: Cross multiply
    138,606.77x = 207,932.59 × 54,321.23
  4. Step 4: Simplify right side
    138,606.77x = 11,295,154,045.89
  5. Step 5: Solve for x
    x = 11,295,154,045.89/138,606.77
  6. Step 6: Final answer
    x = 81,490.64

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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.