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Finding the Fourth Proportional to 91,819.60, 137,729.12 and 51,820.44

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Solution

The fourth proportional to 91,819.60, 137,729.12 and 51,820.44 is: 77,730.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,819.60 : 137,729.12 = 51,820.44 : x
  2. Step 2: Convert to fraction form
    91,819.60/137,729.12 = 51,820.44/x
  3. Step 3: Cross multiply
    91,819.60x = 137,729.12 × 51,820.44
  4. Step 4: Simplify right side
    91,819.60x = 7,137,183,599.21
  5. Step 5: Solve for x
    x = 7,137,183,599.21/91,819.60
  6. Step 6: Final answer
    x = 77,730.50

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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.