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Finding the Fourth Proportional to 138,058.52, 207,047.74 and 53,799.88

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Solution

The fourth proportional to 138,058.52, 207,047.74 and 53,799.88 is: 80,684.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,058.52 : 207,047.74 = 53,799.88 : x
  2. Step 2: Convert to fraction form
    138,058.52/207,047.74 = 53,799.88/x
  3. Step 3: Cross multiply
    138,058.52x = 207,047.74 × 53,799.88
  4. Step 4: Simplify right side
    138,058.52x = 11,139,143,566.27
  5. Step 5: Solve for x
    x = 11,139,143,566.27/138,058.52
  6. Step 6: Final answer
    x = 80,684.22

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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.