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Finding the Fourth Proportional to 75,497.67, 113,246.78 and 28,123.20

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Solution

The fourth proportional to 75,497.67, 113,246.78 and 28,123.20 is: 42,184.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,497.67 : 113,246.78 = 28,123.20 : x
  2. Step 2: Convert to fraction form
    75,497.67/113,246.78 = 28,123.20/x
  3. Step 3: Cross multiply
    75,497.67x = 113,246.78 × 28,123.20
  4. Step 4: Simplify right side
    75,497.67x = 3,184,861,702.68
  5. Step 5: Solve for x
    x = 3,184,861,702.68/75,497.67
  6. Step 6: Final answer
    x = 42,184.90

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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.