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Finding the Fourth Proportional to 102,531.20, 153,796.80 and 36,046.40

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Solution

The fourth proportional to 102,531.20, 153,796.80 and 36,046.40 is: 54,069.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,531.20 : 153,796.80 = 36,046.40 : x
  2. Step 2: Convert to fraction form
    102,531.20/153,796.80 = 36,046.40/x
  3. Step 3: Cross multiply
    102,531.20x = 153,796.80 × 36,046.40
  4. Step 4: Simplify right side
    102,531.20x = 5,543,820,971.52
  5. Step 5: Solve for x
    x = 5,543,820,971.52/102,531.20
  6. Step 6: Final answer
    x = 54,069.60

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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.