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Finding the Fourth Proportional to 51,987, 71,740 and 29,322.38

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Solution

The fourth proportional to 51,987, 71,740 and 29,322.38 is: 40,463.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,987 : 71,740 = 29,322.38 : x
  2. Step 2: Convert to fraction form
    51,987/71,740 = 29,322.38/x
  3. Step 3: Cross multiply
    51,987x = 71,740 × 29,322.38
  4. Step 4: Simplify right side
    51,987x = 2,103,587,541.20
  5. Step 5: Solve for x
    x = 2,103,587,541.20/51,987
  6. Step 6: Final answer
    x = 40,463.72

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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.