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Finding the Fourth Proportional to 82,354.70, 123,728.88 and 52,830.20

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Solution

The fourth proportional to 82,354.70, 123,728.88 and 52,830.20 is: 79,371.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,354.70 : 123,728.88 = 52,830.20 : x
  2. Step 2: Convert to fraction form
    82,354.70/123,728.88 = 52,830.20/x
  3. Step 3: Cross multiply
    82,354.70x = 123,728.88 × 52,830.20
  4. Step 4: Simplify right side
    82,354.70x = 6,536,621,476.18
  5. Step 5: Solve for x
    x = 6,536,621,476.18/82,354.70
  6. Step 6: Final answer
    x = 79,371.57

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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.