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Finding the Fourth Proportional to 57,872.16, 86,815.18 and 20,424.50

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Solution

The fourth proportional to 57,872.16, 86,815.18 and 20,424.50 is: 30,639.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,872.16 : 86,815.18 = 20,424.50 : x
  2. Step 2: Convert to fraction form
    57,872.16/86,815.18 = 20,424.50/x
  3. Step 3: Cross multiply
    57,872.16x = 86,815.18 × 20,424.50
  4. Step 4: Simplify right side
    57,872.16x = 1,773,156,643.91
  5. Step 5: Solve for x
    x = 1,773,156,643.91/57,872.16
  6. Step 6: Final answer
    x = 30,639.20

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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.