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Finding the Fourth Proportional to 97,252.82, 145,629.14 and 78,187.85

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Solution

The fourth proportional to 97,252.82, 145,629.14 and 78,187.85 is: 117,080.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,252.82 : 145,629.14 = 78,187.85 : x
  2. Step 2: Convert to fraction form
    97,252.82/145,629.14 = 78,187.85/x
  3. Step 3: Cross multiply
    97,252.82x = 145,629.14 × 78,187.85
  4. Step 4: Simplify right side
    97,252.82x = 11,386,428,234.86
  5. Step 5: Solve for x
    x = 11,386,428,234.86/97,252.82
  6. Step 6: Final answer
    x = 117,080.71

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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.