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Finding the Fourth Proportional to 153,981.20, 231,058.20 and 65,219.60

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Solution

The fourth proportional to 153,981.20, 231,058.20 and 65,219.60 is: 97,866.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,981.20 : 231,058.20 = 65,219.60 : x
  2. Step 2: Convert to fraction form
    153,981.20/231,058.20 = 65,219.60/x
  3. Step 3: Cross multiply
    153,981.20x = 231,058.20 × 65,219.60
  4. Step 4: Simplify right side
    153,981.20x = 15,069,523,380.72
  5. Step 5: Solve for x
    x = 15,069,523,380.72/153,981.20
  6. Step 6: Final answer
    x = 97,866.00

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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.