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Finding the Fourth Proportional to 51,572.80, 77,363.20 and 21,990.84

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Solution

The fourth proportional to 51,572.80, 77,363.20 and 21,990.84 is: 32,987.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,572.80 : 77,363.20 = 21,990.84 : x
  2. Step 2: Convert to fraction form
    51,572.80/77,363.20 = 21,990.84/x
  3. Step 3: Cross multiply
    51,572.80x = 77,363.20 × 21,990.84
  4. Step 4: Simplify right side
    51,572.80x = 1,701,281,753.09
  5. Step 5: Solve for x
    x = 1,701,281,753.09/51,572.80
  6. Step 6: Final answer
    x = 32,987.97

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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.