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Finding the Fourth Proportional to 96,705.86, 144,396.96 and 86,645.66

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Solution

The fourth proportional to 96,705.86, 144,396.96 and 86,645.66 is: 129,375.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,705.86 : 144,396.96 = 86,645.66 : x
  2. Step 2: Convert to fraction form
    96,705.86/144,396.96 = 86,645.66/x
  3. Step 3: Cross multiply
    96,705.86x = 144,396.96 × 86,645.66
  4. Step 4: Simplify right side
    96,705.86x = 12,511,369,901.19
  5. Step 5: Solve for x
    x = 12,511,369,901.19/96,705.86
  6. Step 6: Final answer
    x = 129,375.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.