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Finding the Fourth Proportional to 86,834.40, 130,251.60 and 65,839.20

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Solution

The fourth proportional to 86,834.40, 130,251.60 and 65,839.20 is: 98,758.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,834.40 : 130,251.60 = 65,839.20 : x
  2. Step 2: Convert to fraction form
    86,834.40/130,251.60 = 65,839.20/x
  3. Step 3: Cross multiply
    86,834.40x = 130,251.60 × 65,839.20
  4. Step 4: Simplify right side
    86,834.40x = 8,575,661,142.72
  5. Step 5: Solve for x
    x = 8,575,661,142.72/86,834.40
  6. Step 6: Final answer
    x = 98,758.80

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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.