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Finding the Fourth Proportional to 137,251.20, 205,876.80 and 58,345.60

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Solution

The fourth proportional to 137,251.20, 205,876.80 and 58,345.60 is: 87,518.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,251.20 : 205,876.80 = 58,345.60 : x
  2. Step 2: Convert to fraction form
    137,251.20/205,876.80 = 58,345.60/x
  3. Step 3: Cross multiply
    137,251.20x = 205,876.80 × 58,345.60
  4. Step 4: Simplify right side
    137,251.20x = 12,012,005,422.08
  5. Step 5: Solve for x
    x = 12,012,005,422.08/137,251.20
  6. Step 6: Final answer
    x = 87,518.40

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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.