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Finding the Fourth Proportional to 153,991.20, 231,073.20 and 65,229.60

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Solution

The fourth proportional to 153,991.20, 231,073.20 and 65,229.60 is: 97,881.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,991.20 : 231,073.20 = 65,229.60 : x
  2. Step 2: Convert to fraction form
    153,991.20/231,073.20 = 65,229.60/x
  3. Step 3: Cross multiply
    153,991.20x = 231,073.20 × 65,229.60
  4. Step 4: Simplify right side
    153,991.20x = 15,072,812,406.72
  5. Step 5: Solve for x
    x = 15,072,812,406.72/153,991.20
  6. Step 6: Final answer
    x = 97,881.00

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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.