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Finding the Fourth Proportional to 79,281.84, 109,413.98 and 52,377.20

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Solution

The fourth proportional to 79,281.84, 109,413.98 and 52,377.20 is: 72,283.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,281.84 : 109,413.98 = 52,377.20 : x
  2. Step 2: Convert to fraction form
    79,281.84/109,413.98 = 52,377.20/x
  3. Step 3: Cross multiply
    79,281.84x = 109,413.98 × 52,377.20
  4. Step 4: Simplify right side
    79,281.84x = 5,730,797,913.26
  5. Step 5: Solve for x
    x = 5,730,797,913.26/79,281.84
  6. Step 6: Final answer
    x = 72,283.87

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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.