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Finding the Fourth Proportional to 51,819.60, 77,729.40 and 47,672.40

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Solution

The fourth proportional to 51,819.60, 77,729.40 and 47,672.40 is: 71,508.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,819.60 : 77,729.40 = 47,672.40 : x
  2. Step 2: Convert to fraction form
    51,819.60/77,729.40 = 47,672.40/x
  3. Step 3: Cross multiply
    51,819.60x = 77,729.40 × 47,672.40
  4. Step 4: Simplify right side
    51,819.60x = 3,705,547,048.56
  5. Step 5: Solve for x
    x = 3,705,547,048.56/51,819.60
  6. Step 6: Final answer
    x = 71,508.60

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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.