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Finding the Fourth Proportional to 91,751.29, 137,593.90 and 31,763.47

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Solution

The fourth proportional to 91,751.29, 137,593.90 and 31,763.47 is: 47,633.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,751.29 : 137,593.90 = 31,763.47 : x
  2. Step 2: Convert to fraction form
    91,751.29/137,593.90 = 31,763.47/x
  3. Step 3: Cross multiply
    91,751.29x = 137,593.90 × 31,763.47
  4. Step 4: Simplify right side
    91,751.29x = 4,370,459,714.83
  5. Step 5: Solve for x
    x = 4,370,459,714.83/91,751.29
  6. Step 6: Final answer
    x = 47,633.77

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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.