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Finding the Fourth Proportional to 84,097.64, 126,070.68 and 30,751.76

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Solution

The fourth proportional to 84,097.64, 126,070.68 and 30,751.76 is: 46,099.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,097.64 : 126,070.68 = 30,751.76 : x
  2. Step 2: Convert to fraction form
    84,097.64/126,070.68 = 30,751.76/x
  3. Step 3: Cross multiply
    84,097.64x = 126,070.68 × 30,751.76
  4. Step 4: Simplify right side
    84,097.64x = 3,876,895,294.40
  5. Step 5: Solve for x
    x = 3,876,895,294.40/84,097.64
  6. Step 6: Final answer
    x = 46,099.93

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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.