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Finding the Fourth Proportional to 83,207.20, 124,810.80 and 79,319.20

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Solution

The fourth proportional to 83,207.20, 124,810.80 and 79,319.20 is: 118,978.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,207.20 : 124,810.80 = 79,319.20 : x
  2. Step 2: Convert to fraction form
    83,207.20/124,810.80 = 79,319.20/x
  3. Step 3: Cross multiply
    83,207.20x = 124,810.80 × 79,319.20
  4. Step 4: Simplify right side
    83,207.20x = 9,899,892,807.36
  5. Step 5: Solve for x
    x = 9,899,892,807.36/83,207.20
  6. Step 6: Final answer
    x = 118,978.80

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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.