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Finding the Fourth Proportional to 97,447.80, 146,171.70 and 91,542.90

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Solution

The fourth proportional to 97,447.80, 146,171.70 and 91,542.90 is: 137,314.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,447.80 : 146,171.70 = 91,542.90 : x
  2. Step 2: Convert to fraction form
    97,447.80/146,171.70 = 91,542.90/x
  3. Step 3: Cross multiply
    97,447.80x = 146,171.70 × 91,542.90
  4. Step 4: Simplify right side
    97,447.80x = 13,380,981,315.93
  5. Step 5: Solve for x
    x = 13,380,981,315.93/97,447.80
  6. Step 6: Final answer
    x = 137,314.35

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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.