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Finding the Fourth Proportional to 42,542.59, 63,823.11 and 12,959.65

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Solution

The fourth proportional to 42,542.59, 63,823.11 and 12,959.65 is: 19,442.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,542.59 : 63,823.11 = 12,959.65 : x
  2. Step 2: Convert to fraction form
    42,542.59/63,823.11 = 12,959.65/x
  3. Step 3: Cross multiply
    42,542.59x = 63,823.11 × 12,959.65
  4. Step 4: Simplify right side
    42,542.59x = 827,125,167.51
  5. Step 5: Solve for x
    x = 827,125,167.51/42,542.59
  6. Step 6: Final answer
    x = 19,442.29

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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.