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Finding the Fourth Proportional to 82,272.60, 123,408.90 and 47,280.60

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Solution

The fourth proportional to 82,272.60, 123,408.90 and 47,280.60 is: 70,920.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,272.60 : 123,408.90 = 47,280.60 : x
  2. Step 2: Convert to fraction form
    82,272.60/123,408.90 = 47,280.60/x
  3. Step 3: Cross multiply
    82,272.60x = 123,408.90 × 47,280.60
  4. Step 4: Simplify right side
    82,272.60x = 5,834,846,837.34
  5. Step 5: Solve for x
    x = 5,834,846,837.34/82,272.60
  6. Step 6: Final answer
    x = 70,920.90

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1.5x scale

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.