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Finding the Fourth Proportional to 79,722.48, 109,988.28 and 52,878

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Solution

The fourth proportional to 79,722.48, 109,988.28 and 52,878 is: 72,952.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,722.48 : 109,988.28 = 52,878 : x
  2. Step 2: Convert to fraction form
    79,722.48/109,988.28 = 52,878/x
  3. Step 3: Cross multiply
    79,722.48x = 109,988.28 × 52,878
  4. Step 4: Simplify right side
    79,722.48x = 5,815,960,269.84
  5. Step 5: Solve for x
    x = 5,815,960,269.84/79,722.48
  6. Step 6: Final answer
    x = 72,952.58

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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.