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Finding the Fourth Proportional to 138,300.47, 207,404.49 and 54,038.78

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Solution

The fourth proportional to 138,300.47, 207,404.49 and 54,038.78 is: 81,040.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,300.47 : 207,404.49 = 54,038.78 : x
  2. Step 2: Convert to fraction form
    138,300.47/207,404.49 = 54,038.78/x
  3. Step 3: Cross multiply
    138,300.47x = 207,404.49 × 54,038.78
  4. Step 4: Simplify right side
    138,300.47x = 11,207,885,606.12
  5. Step 5: Solve for x
    x = 11,207,885,606.12/138,300.47
  6. Step 6: Final answer
    x = 81,040.11

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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.