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Finding the Fourth Proportional to 285,761.42, 428,342.03 and 96,155.96

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Solution

The fourth proportional to 285,761.42, 428,342.03 and 96,155.96 is: 144,132.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,761.42 : 428,342.03 = 96,155.96 : x
  2. Step 2: Convert to fraction form
    285,761.42/428,342.03 = 96,155.96/x
  3. Step 3: Cross multiply
    285,761.42x = 428,342.03 × 96,155.96
  4. Step 4: Simplify right side
    285,761.42x = 41,187,636,480.51
  5. Step 5: Solve for x
    x = 41,187,636,480.51/285,761.42
  6. Step 6: Final answer
    x = 144,132.95

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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.