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Finding the Fourth Proportional to 80,509, 120,646.78 and 45,373.88

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Solution

The fourth proportional to 80,509, 120,646.78 and 45,373.88 is: 67,995.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,509 : 120,646.78 = 45,373.88 : x
  2. Step 2: Convert to fraction form
    80,509/120,646.78 = 45,373.88/x
  3. Step 3: Cross multiply
    80,509x = 120,646.78 × 45,373.88
  4. Step 4: Simplify right side
    80,509x = 5,474,212,518.11
  5. Step 5: Solve for x
    x = 5,474,212,518.11/80,509
  6. Step 6: Final answer
    x = 67,995.04

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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.