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Finding the Fourth Proportional to 42,044.44, 63,072.78 and 12,458.44

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Solution

The fourth proportional to 42,044.44, 63,072.78 and 12,458.44 is: 18,689.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,044.44 : 63,072.78 = 12,458.44 : x
  2. Step 2: Convert to fraction form
    42,044.44/63,072.78 = 12,458.44/x
  3. Step 3: Cross multiply
    42,044.44x = 63,072.78 × 12,458.44
  4. Step 4: Simplify right side
    42,044.44x = 785,788,445.26
  5. Step 5: Solve for x
    x = 785,788,445.26/42,044.44
  6. Step 6: Final answer
    x = 18,689.47

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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.