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Finding the Fourth Proportional to 138,959.32, 208,468.31 and 53,572.36

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Solution

The fourth proportional to 138,959.32, 208,468.31 and 53,572.36 is: 80,369.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,959.32 : 208,468.31 = 53,572.36 : x
  2. Step 2: Convert to fraction form
    138,959.32/208,468.31 = 53,572.36/x
  3. Step 3: Cross multiply
    138,959.32x = 208,468.31 × 53,572.36
  4. Step 4: Simplify right side
    138,959.32x = 11,168,139,351.91
  5. Step 5: Solve for x
    x = 11,168,139,351.91/138,959.32
  6. Step 6: Final answer
    x = 80,369.85

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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.