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Finding the Fourth Proportional to 78,230.64, 117,372.84 and 22,834.80

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Solution

The fourth proportional to 78,230.64, 117,372.84 and 22,834.80 is: 34,260.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,230.64 : 117,372.84 = 22,834.80 : x
  2. Step 2: Convert to fraction form
    78,230.64/117,372.84 = 22,834.80/x
  3. Step 3: Cross multiply
    78,230.64x = 117,372.84 × 22,834.80
  4. Step 4: Simplify right side
    78,230.64x = 2,680,185,326.83
  5. Step 5: Solve for x
    x = 2,680,185,326.83/78,230.64
  6. Step 6: Final answer
    x = 34,260.05

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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.