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Finding the Fourth Proportional to 53,098.74, 79,648.10 and 21,934.80

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Solution

The fourth proportional to 53,098.74, 79,648.10 and 21,934.80 is: 32,902.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,098.74 : 79,648.10 = 21,934.80 : x
  2. Step 2: Convert to fraction form
    53,098.74/79,648.10 = 21,934.80/x
  3. Step 3: Cross multiply
    53,098.74x = 79,648.10 × 21,934.80
  4. Step 4: Simplify right side
    53,098.74x = 1,747,065,116.46
  5. Step 5: Solve for x
    x = 1,747,065,116.46/53,098.74
  6. Step 6: Final answer
    x = 32,902.20

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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.