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Finding the Fourth Proportional to 135,506.52, 187,005.96 and 81,790.80

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Solution

The fourth proportional to 135,506.52, 187,005.96 and 81,790.80 is: 112,875.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,506.52 : 187,005.96 = 81,790.80 : x
  2. Step 2: Convert to fraction form
    135,506.52/187,005.96 = 81,790.80/x
  3. Step 3: Cross multiply
    135,506.52x = 187,005.96 × 81,790.80
  4. Step 4: Simplify right side
    135,506.52x = 15,295,367,073.17
  5. Step 5: Solve for x
    x = 15,295,367,073.17/135,506.52
  6. Step 6: Final answer
    x = 112,875.51

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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.