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Finding the Fourth Proportional to 138,242.73, 207,031.95 and 78,898.49

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Solution

The fourth proportional to 138,242.73, 207,031.95 and 78,898.49 is: 118,158.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,242.73 : 207,031.95 = 78,898.49 : x
  2. Step 2: Convert to fraction form
    138,242.73/207,031.95 = 78,898.49/x
  3. Step 3: Cross multiply
    138,242.73x = 207,031.95 × 78,898.49
  4. Step 4: Simplify right side
    138,242.73x = 16,334,507,977.97
  5. Step 5: Solve for x
    x = 16,334,507,977.97/138,242.73
  6. Step 6: Final answer
    x = 118,158.17

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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.