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Finding the Fourth Proportional to 120,070.62, 180,105.93 and 45,207.56

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Solution

The fourth proportional to 120,070.62, 180,105.93 and 45,207.56 is: 67,811.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,070.62 : 180,105.93 = 45,207.56 : x
  2. Step 2: Convert to fraction form
    120,070.62/180,105.93 = 45,207.56/x
  3. Step 3: Cross multiply
    120,070.62x = 180,105.93 × 45,207.56
  4. Step 4: Simplify right side
    120,070.62x = 8,142,149,636.83
  5. Step 5: Solve for x
    x = 8,142,149,636.83/120,070.62
  6. Step 6: Final answer
    x = 67,811.34

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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.