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Finding the Fourth Proportional to 81,653.52, 122,488.01 and 31,737.48

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Solution

The fourth proportional to 81,653.52, 122,488.01 and 31,737.48 is: 47,609.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,653.52 : 122,488.01 = 31,737.48 : x
  2. Step 2: Convert to fraction form
    81,653.52/122,488.01 = 31,737.48/x
  3. Step 3: Cross multiply
    81,653.52x = 122,488.01 × 31,737.48
  4. Step 4: Simplify right side
    81,653.52x = 3,887,460,767.61
  5. Step 5: Solve for x
    x = 3,887,460,767.61/81,653.52
  6. Step 6: Final answer
    x = 47,609.22

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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.