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Finding the Fourth Proportional to 100,521.85, 138,731.23 and 57,505.31

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Solution

The fourth proportional to 100,521.85, 138,731.23 and 57,505.31 is: 79,363.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,521.85 : 138,731.23 = 57,505.31 : x
  2. Step 2: Convert to fraction form
    100,521.85/138,731.23 = 57,505.31/x
  3. Step 3: Cross multiply
    100,521.85x = 138,731.23 × 57,505.31
  4. Step 4: Simplify right side
    100,521.85x = 7,977,781,550.41
  5. Step 5: Solve for x
    x = 7,977,781,550.41/100,521.85
  6. Step 6: Final answer
    x = 79,363.66

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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.