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Finding the Fourth Proportional to 80,123.74, 120,070.80 and 44,989.60

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Solution

The fourth proportional to 80,123.74, 120,070.80 and 44,989.60 is: 67,419.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,123.74 : 120,070.80 = 44,989.60 : x
  2. Step 2: Convert to fraction form
    80,123.74/120,070.80 = 44,989.60/x
  3. Step 3: Cross multiply
    80,123.74x = 120,070.80 × 44,989.60
  4. Step 4: Simplify right side
    80,123.74x = 5,401,937,263.68
  5. Step 5: Solve for x
    x = 5,401,937,263.68/80,123.74
  6. Step 6: Final answer
    x = 67,419.93

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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.