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Finding the Fourth Proportional to 72,868.80, 109,319.65 and 22,272.42

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Solution

The fourth proportional to 72,868.80, 109,319.65 and 22,272.42 is: 33,413.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,868.80 : 109,319.65 = 22,272.42 : x
  2. Step 2: Convert to fraction form
    72,868.80/109,319.65 = 22,272.42/x
  3. Step 3: Cross multiply
    72,868.80x = 109,319.65 × 22,272.42
  4. Step 4: Simplify right side
    72,868.80x = 2,434,813,159.05
  5. Step 5: Solve for x
    x = 2,434,813,159.05/72,868.80
  6. Step 6: Final answer
    x = 33,413.66

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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.