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Finding the Fourth Proportional to 137,229.40, 205,844.10 and 58,288.42

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Solution

The fourth proportional to 137,229.40, 205,844.10 and 58,288.42 is: 87,432.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,229.40 : 205,844.10 = 58,288.42 : x
  2. Step 2: Convert to fraction form
    137,229.40/205,844.10 = 58,288.42/x
  3. Step 3: Cross multiply
    137,229.40x = 205,844.10 × 58,288.42
  4. Step 4: Simplify right side
    137,229.40x = 11,998,326,840.71
  5. Step 5: Solve for x
    x = 11,998,326,840.71/137,229.40
  6. Step 6: Final answer
    x = 87,432.63

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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.