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Finding the Fourth Proportional to 78,223.38, 107,947.26 and 42,413.28

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Solution

The fourth proportional to 78,223.38, 107,947.26 and 42,413.28 is: 58,529.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,223.38 : 107,947.26 = 42,413.28 : x
  2. Step 2: Convert to fraction form
    78,223.38/107,947.26 = 42,413.28/x
  3. Step 3: Cross multiply
    78,223.38x = 107,947.26 × 42,413.28
  4. Step 4: Simplify right side
    78,223.38x = 4,578,397,363.61
  5. Step 5: Solve for x
    x = 4,578,397,363.61/78,223.38
  6. Step 6: Final answer
    x = 58,529.78

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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.