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Finding the Fourth Proportional to 282,114.80, 423,170.28 and 71,750

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Solution

The fourth proportional to 282,114.80, 423,170.28 and 71,750 is: 107,624.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,114.80 : 423,170.28 = 71,750 : x
  2. Step 2: Convert to fraction form
    282,114.80/423,170.28 = 71,750/x
  3. Step 3: Cross multiply
    282,114.80x = 423,170.28 × 71,750
  4. Step 4: Simplify right side
    282,114.80x = 30,362,467,590.00
  5. Step 5: Solve for x
    x = 30,362,467,590.00/282,114.80
  6. Step 6: Final answer
    x = 107,624.51

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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.