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Finding the Fourth Proportional to 91,857.60, 137,786.40 and 65,419.20

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Solution

The fourth proportional to 91,857.60, 137,786.40 and 65,419.20 is: 98,128.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,857.60 : 137,786.40 = 65,419.20 : x
  2. Step 2: Convert to fraction form
    91,857.60/137,786.40 = 65,419.20/x
  3. Step 3: Cross multiply
    91,857.60x = 137,786.40 × 65,419.20
  4. Step 4: Simplify right side
    91,857.60x = 9,013,876,058.88
  5. Step 5: Solve for x
    x = 9,013,876,058.88/91,857.60
  6. Step 6: Final answer
    x = 98,128.80

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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.