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Finding the Fourth Proportional to 91,707.60, 137,431.80 and 56,542.80

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Solution

The fourth proportional to 91,707.60, 137,431.80 and 56,542.80 is: 84,734.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,707.60 : 137,431.80 = 56,542.80 : x
  2. Step 2: Convert to fraction form
    91,707.60/137,431.80 = 56,542.80/x
  3. Step 3: Cross multiply
    91,707.60x = 137,431.80 × 56,542.80
  4. Step 4: Simplify right side
    91,707.60x = 7,770,778,781.04
  5. Step 5: Solve for x
    x = 7,770,778,781.04/91,707.60
  6. Step 6: Final answer
    x = 84,734.29

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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.