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Finding the Fourth Proportional to 87,778, 121,136.68 and 48,034

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Solution

The fourth proportional to 87,778, 121,136.68 and 48,034 is: 66,288.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,778 : 121,136.68 = 48,034 : x
  2. Step 2: Convert to fraction form
    87,778/121,136.68 = 48,034/x
  3. Step 3: Cross multiply
    87,778x = 121,136.68 × 48,034
  4. Step 4: Simplify right side
    87,778x = 5,818,679,287.12
  5. Step 5: Solve for x
    x = 5,818,679,287.12/87,778
  6. Step 6: Final answer
    x = 66,288.58

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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.