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Finding the Fourth Proportional to 108,531.20, 162,796.80 and 75,288.80

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Solution

The fourth proportional to 108,531.20, 162,796.80 and 75,288.80 is: 112,933.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,531.20 : 162,796.80 = 75,288.80 : x
  2. Step 2: Convert to fraction form
    108,531.20/162,796.80 = 75,288.80/x
  3. Step 3: Cross multiply
    108,531.20x = 162,796.80 × 75,288.80
  4. Step 4: Simplify right side
    108,531.20x = 12,256,775,715.84
  5. Step 5: Solve for x
    x = 12,256,775,715.84/108,531.20
  6. Step 6: Final answer
    x = 112,933.20

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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.