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Finding the Fourth Proportional to 52,251.60, 78,377.40 and 12,809.10

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Solution

The fourth proportional to 52,251.60, 78,377.40 and 12,809.10 is: 19,213.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,251.60 : 78,377.40 = 12,809.10 : x
  2. Step 2: Convert to fraction form
    52,251.60/78,377.40 = 12,809.10/x
  3. Step 3: Cross multiply
    52,251.60x = 78,377.40 × 12,809.10
  4. Step 4: Simplify right side
    52,251.60x = 1,003,943,954.34
  5. Step 5: Solve for x
    x = 1,003,943,954.34/52,251.60
  6. Step 6: Final answer
    x = 19,213.65

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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.