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Finding the Fourth Proportional to 107,695.80, 161,470.80 and 57,103.20

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Solution

The fourth proportional to 107,695.80, 161,470.80 and 57,103.20 is: 85,616.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,695.80 : 161,470.80 = 57,103.20 : x
  2. Step 2: Convert to fraction form
    107,695.80/161,470.80 = 57,103.20/x
  3. Step 3: Cross multiply
    107,695.80x = 161,470.80 × 57,103.20
  4. Step 4: Simplify right side
    107,695.80x = 9,220,499,386.56
  5. Step 5: Solve for x
    x = 9,220,499,386.56/107,695.80
  6. Step 6: Final answer
    x = 85,616.15

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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.