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Finding the Fourth Proportional to 42,656, 63,989.28 and 14,578.88

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Solution

The fourth proportional to 42,656, 63,989.28 and 14,578.88 is: 21,870.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,656 : 63,989.28 = 14,578.88 : x
  2. Step 2: Convert to fraction form
    42,656/63,989.28 = 14,578.88/x
  3. Step 3: Cross multiply
    42,656x = 63,989.28 × 14,578.88
  4. Step 4: Simplify right side
    42,656x = 932,892,034.41
  5. Step 5: Solve for x
    x = 932,892,034.41/42,656
  6. Step 6: Final answer
    x = 21,870.12

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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.