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Finding the Fourth Proportional to 52,578.68, 78,856.14 and 15,138.68

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Solution

The fourth proportional to 52,578.68, 78,856.14 and 15,138.68 is: 22,704.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,578.68 : 78,856.14 = 15,138.68 : x
  2. Step 2: Convert to fraction form
    52,578.68/78,856.14 = 15,138.68/x
  3. Step 3: Cross multiply
    52,578.68x = 78,856.14 × 15,138.68
  4. Step 4: Simplify right side
    52,578.68x = 1,193,777,869.50
  5. Step 5: Solve for x
    x = 1,193,777,869.50/52,578.68
  6. Step 6: Final answer
    x = 22,704.60

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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.