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Finding the Fourth Proportional to 96,701.86, 144,390.99 and 86,641.66

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Solution

The fourth proportional to 96,701.86, 144,390.99 and 86,641.66 is: 129,369.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,701.86 : 144,390.99 = 86,641.66 : x
  2. Step 2: Convert to fraction form
    96,701.86/144,390.99 = 86,641.66/x
  3. Step 3: Cross multiply
    96,701.86x = 144,390.99 × 86,641.66
  4. Step 4: Simplify right side
    96,701.86x = 12,510,275,062.64
  5. Step 5: Solve for x
    x = 12,510,275,062.64/96,701.86
  6. Step 6: Final answer
    x = 129,369.54

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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.