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Finding the Fourth Proportional to 99,820.80, 137,779.20 and 57,384

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Solution

The fourth proportional to 99,820.80, 137,779.20 and 57,384 is: 79,205.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,820.80 : 137,779.20 = 57,384 : x
  2. Step 2: Convert to fraction form
    99,820.80/137,779.20 = 57,384/x
  3. Step 3: Cross multiply
    99,820.80x = 137,779.20 × 57,384
  4. Step 4: Simplify right side
    99,820.80x = 7,906,321,612.80
  5. Step 5: Solve for x
    x = 7,906,321,612.80/99,820.80
  6. Step 6: Final answer
    x = 79,205.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.