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Finding the Fourth Proportional to 83,276.88, 124,856.88 and 30,679.60

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Solution

The fourth proportional to 83,276.88, 124,856.88 and 30,679.60 is: 45,997.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,276.88 : 124,856.88 = 30,679.60 : x
  2. Step 2: Convert to fraction form
    83,276.88/124,856.88 = 30,679.60/x
  3. Step 3: Cross multiply
    83,276.88x = 124,856.88 × 30,679.60
  4. Step 4: Simplify right side
    83,276.88x = 3,830,559,135.65
  5. Step 5: Solve for x
    x = 3,830,559,135.65/83,276.88
  6. Step 6: Final answer
    x = 45,997.87

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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.