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Finding the Fourth Proportional to 52,600.20, 78,861.90 and 21,419.40

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Solution

The fourth proportional to 52,600.20, 78,861.90 and 21,419.40 is: 32,113.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,600.20 : 78,861.90 = 21,419.40 : x
  2. Step 2: Convert to fraction form
    52,600.20/78,861.90 = 21,419.40/x
  3. Step 3: Cross multiply
    52,600.20x = 78,861.90 × 21,419.40
  4. Step 4: Simplify right side
    52,600.20x = 1,689,174,580.86
  5. Step 5: Solve for x
    x = 1,689,174,580.86/52,600.20
  6. Step 6: Final answer
    x = 32,113.46

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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.