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Finding the Fourth Proportional to 52,605.20, 78,869.40 and 21,424.40

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Solution

The fourth proportional to 52,605.20, 78,869.40 and 21,424.40 is: 32,120.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,605.20 : 78,869.40 = 21,424.40 : x
  2. Step 2: Convert to fraction form
    52,605.20/78,869.40 = 21,424.40/x
  3. Step 3: Cross multiply
    52,605.20x = 78,869.40 × 21,424.40
  4. Step 4: Simplify right side
    52,605.20x = 1,689,729,573.36
  5. Step 5: Solve for x
    x = 1,689,729,573.36/52,605.20
  6. Step 6: Final answer
    x = 32,120.96

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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.