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Finding the Fourth Proportional to 51,773.17, 77,545.92 and 42,786.65

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Solution

The fourth proportional to 51,773.17, 77,545.92 and 42,786.65 is: 64,085.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,773.17 : 77,545.92 = 42,786.65 : x
  2. Step 2: Convert to fraction form
    51,773.17/77,545.92 = 42,786.65/x
  3. Step 3: Cross multiply
    51,773.17x = 77,545.92 × 42,786.65
  4. Step 4: Simplify right side
    51,773.17x = 3,317,929,536.31
  5. Step 5: Solve for x
    x = 3,317,929,536.31/51,773.17
  6. Step 6: Final answer
    x = 64,085.89

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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.