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Finding the Fourth Proportional to 120,219.52, 165,847.08 and 77,791.76

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Solution

The fourth proportional to 120,219.52, 165,847.08 and 77,791.76 is: 107,316.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,219.52 : 165,847.08 = 77,791.76 : x
  2. Step 2: Convert to fraction form
    120,219.52/165,847.08 = 77,791.76/x
  3. Step 3: Cross multiply
    120,219.52x = 165,847.08 × 77,791.76
  4. Step 4: Simplify right side
    120,219.52x = 12,901,536,244.06
  5. Step 5: Solve for x
    x = 12,901,536,244.06/120,219.52
  6. Step 6: Final answer
    x = 107,316.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.