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Finding the Fourth Proportional to 131,784.92, 181,862.42 and 71,354.31

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Solution

The fourth proportional to 131,784.92, 181,862.42 and 71,354.31 is: 98,468.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,784.92 : 181,862.42 = 71,354.31 : x
  2. Step 2: Convert to fraction form
    131,784.92/181,862.42 = 71,354.31/x
  3. Step 3: Cross multiply
    131,784.92x = 181,862.42 × 71,354.31
  4. Step 4: Simplify right side
    131,784.92x = 12,976,667,137.26
  5. Step 5: Solve for x
    x = 12,976,667,137.26/131,784.92
  6. Step 6: Final answer
    x = 98,468.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.