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Finding the Fourth Proportional to 282,431.80, 423,647.49 and 72,069.76

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Solution

The fourth proportional to 282,431.80, 423,647.49 and 72,069.76 is: 108,104.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,431.80 : 423,647.49 = 72,069.76 : x
  2. Step 2: Convert to fraction form
    282,431.80/423,647.49 = 72,069.76/x
  3. Step 3: Cross multiply
    282,431.80x = 423,647.49 × 72,069.76
  4. Step 4: Simplify right side
    282,431.80x = 30,532,172,928.90
  5. Step 5: Solve for x
    x = 30,532,172,928.90/282,431.80
  6. Step 6: Final answer
    x = 108,104.59

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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.