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Finding the Fourth Proportional to 42,578, 63,868.08 and 14,876

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Solution

The fourth proportional to 42,578, 63,868.08 and 14,876 is: 22,314.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,578 : 63,868.08 = 14,876 : x
  2. Step 2: Convert to fraction form
    42,578/63,868.08 = 14,876/x
  3. Step 3: Cross multiply
    42,578x = 63,868.08 × 14,876
  4. Step 4: Simplify right side
    42,578x = 950,101,558.08
  5. Step 5: Solve for x
    x = 950,101,558.08/42,578
  6. Step 6: Final answer
    x = 22,314.38

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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.