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Finding the Fourth Proportional to 138,500.90, 207,714.39 and 38,643.54

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Solution

The fourth proportional to 138,500.90, 207,714.39 and 38,643.54 is: 57,955.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,500.90 : 207,714.39 = 38,643.54 : x
  2. Step 2: Convert to fraction form
    138,500.90/207,714.39 = 38,643.54/x
  3. Step 3: Cross multiply
    138,500.90x = 207,714.39 × 38,643.54
  4. Step 4: Simplify right side
    138,500.90x = 8,026,819,338.54
  5. Step 5: Solve for x
    x = 8,026,819,338.54/138,500.90
  6. Step 6: Final answer
    x = 57,955.00

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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.