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Finding the Fourth Proportional to 80,148.20, 120,123.84 and 45,014

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Solution

The fourth proportional to 80,148.20, 120,123.84 and 45,014 is: 67,465.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,148.20 : 120,123.84 = 45,014 : x
  2. Step 2: Convert to fraction form
    80,148.20/120,123.84 = 45,014/x
  3. Step 3: Cross multiply
    80,148.20x = 120,123.84 × 45,014
  4. Step 4: Simplify right side
    80,148.20x = 5,407,254,533.76
  5. Step 5: Solve for x
    x = 5,407,254,533.76/80,148.20
  6. Step 6: Final answer
    x = 67,465.70

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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.