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Finding the Fourth Proportional to 91,988.20, 137,690.70 and 65,744.20

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Solution

The fourth proportional to 91,988.20, 137,690.70 and 65,744.20 is: 98,407.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,988.20 : 137,690.70 = 65,744.20 : x
  2. Step 2: Convert to fraction form
    91,988.20/137,690.70 = 65,744.20/x
  3. Step 3: Cross multiply
    91,988.20x = 137,690.70 × 65,744.20
  4. Step 4: Simplify right side
    91,988.20x = 9,052,364,918.94
  5. Step 5: Solve for x
    x = 9,052,364,918.94/91,988.20
  6. Step 6: Final answer
    x = 98,407.89

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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.