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Finding the Fourth Proportional to 101,829.68, 152,715 and 42,663.68

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Solution

The fourth proportional to 101,829.68, 152,715 and 42,663.68 is: 63,983.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,829.68 : 152,715 = 42,663.68 : x
  2. Step 2: Convert to fraction form
    101,829.68/152,715 = 42,663.68/x
  3. Step 3: Cross multiply
    101,829.68x = 152,715 × 42,663.68
  4. Step 4: Simplify right side
    101,829.68x = 6,515,383,891.20
  5. Step 5: Solve for x
    x = 6,515,383,891.20/101,829.68
  6. Step 6: Final answer
    x = 63,983.15

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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.