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Finding the Fourth Proportional to 52,595.20, 78,854.40 and 21,414.40

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Solution

The fourth proportional to 52,595.20, 78,854.40 and 21,414.40 is: 32,105.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,595.20 : 78,854.40 = 21,414.40 : x
  2. Step 2: Convert to fraction form
    52,595.20/78,854.40 = 21,414.40/x
  3. Step 3: Cross multiply
    52,595.20x = 78,854.40 × 21,414.40
  4. Step 4: Simplify right side
    52,595.20x = 1,688,619,663.36
  5. Step 5: Solve for x
    x = 1,688,619,663.36/52,595.20
  6. Step 6: Final answer
    x = 32,105.97

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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.