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Finding the Fourth Proportional to 51,981.65, 71,726.70 and 29,319.65

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Solution

The fourth proportional to 51,981.65, 71,726.70 and 29,319.65 is: 40,456.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,981.65 : 71,726.70 = 29,319.65 : x
  2. Step 2: Convert to fraction form
    51,981.65/71,726.70 = 29,319.65/x
  3. Step 3: Cross multiply
    51,981.65x = 71,726.70 × 29,319.65
  4. Step 4: Simplify right side
    51,981.65x = 2,103,001,381.02
  5. Step 5: Solve for x
    x = 2,103,001,381.02/51,981.65
  6. Step 6: Final answer
    x = 40,456.61

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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.