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Finding the Fourth Proportional to 123,878.70, 170,947.53 and 67,288.86

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Solution

The fourth proportional to 123,878.70, 170,947.53 and 67,288.86 is: 92,855.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,878.70 : 170,947.53 = 67,288.86 : x
  2. Step 2: Convert to fraction form
    123,878.70/170,947.53 = 67,288.86/x
  3. Step 3: Cross multiply
    123,878.70x = 170,947.53 × 67,288.86
  4. Step 4: Simplify right side
    123,878.70x = 11,502,864,413.52
  5. Step 5: Solve for x
    x = 11,502,864,413.52/123,878.70
  6. Step 6: Final answer
    x = 92,855.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.