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Finding the Fourth Proportional to 138,058.46, 190,519.71 and 78,442.46

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Solution

The fourth proportional to 138,058.46, 190,519.71 and 78,442.46 is: 108,250.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,058.46 : 190,519.71 = 78,442.46 : x
  2. Step 2: Convert to fraction form
    138,058.46/190,519.71 = 78,442.46/x
  3. Step 3: Cross multiply
    138,058.46x = 190,519.71 × 78,442.46
  4. Step 4: Simplify right side
    138,058.46x = 14,944,833,778.29
  5. Step 5: Solve for x
    x = 14,944,833,778.29/138,058.46
  6. Step 6: Final answer
    x = 108,250.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.