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Finding the Fourth Proportional to 96,704.86, 144,395.47 and 86,644.66

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Solution

The fourth proportional to 96,704.86, 144,395.47 and 86,644.66 is: 129,374.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,704.86 : 144,395.47 = 86,644.66 : x
  2. Step 2: Convert to fraction form
    96,704.86/144,395.47 = 86,644.66/x
  3. Step 3: Cross multiply
    96,704.86x = 144,395.47 × 86,644.66
  4. Step 4: Simplify right side
    96,704.86x = 12,511,096,403.69
  5. Step 5: Solve for x
    x = 12,511,096,403.69/96,704.86
  6. Step 6: Final answer
    x = 129,374.02

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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.