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Finding the Fourth Proportional to 97,233.60, 145,882.80 and 86,781.60

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Solution

The fourth proportional to 97,233.60, 145,882.80 and 86,781.60 is: 130,201.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,233.60 : 145,882.80 = 86,781.60 : x
  2. Step 2: Convert to fraction form
    97,233.60/145,882.80 = 86,781.60/x
  3. Step 3: Cross multiply
    97,233.60x = 145,882.80 × 86,781.60
  4. Step 4: Simplify right side
    97,233.60x = 12,659,942,796.48
  5. Step 5: Solve for x
    x = 12,659,942,796.48/97,233.60
  6. Step 6: Final answer
    x = 130,201.32

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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.