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Finding the Fourth Proportional to 75,281.80, 112,922.70 and 68,024.20

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Solution

The fourth proportional to 75,281.80, 112,922.70 and 68,024.20 is: 102,036.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,281.80 : 112,922.70 = 68,024.20 : x
  2. Step 2: Convert to fraction form
    75,281.80/112,922.70 = 68,024.20/x
  3. Step 3: Cross multiply
    75,281.80x = 112,922.70 × 68,024.20
  4. Step 4: Simplify right side
    75,281.80x = 7,681,476,329.34
  5. Step 5: Solve for x
    x = 7,681,476,329.34/75,281.80
  6. Step 6: Final answer
    x = 102,036.30

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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.