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Finding the Fourth Proportional to 42,082, 63,123.48 and 10,915.36

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Solution

The fourth proportional to 42,082, 63,123.48 and 10,915.36 is: 16,373.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,082 : 63,123.48 = 10,915.36 : x
  2. Step 2: Convert to fraction form
    42,082/63,123.48 = 10,915.36/x
  3. Step 3: Cross multiply
    42,082x = 63,123.48 × 10,915.36
  4. Step 4: Simplify right side
    42,082x = 689,015,508.65
  5. Step 5: Solve for x
    x = 689,015,508.65/42,082
  6. Step 6: Final answer
    x = 16,373.16

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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.