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Finding the Fourth Proportional to 120,205.85, 165,935.10 and 74,906.19

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Solution

The fourth proportional to 120,205.85, 165,935.10 and 74,906.19 is: 103,402.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,205.85 : 165,935.10 = 74,906.19 : x
  2. Step 2: Convert to fraction form
    120,205.85/165,935.10 = 74,906.19/x
  3. Step 3: Cross multiply
    120,205.85x = 165,935.10 × 74,906.19
  4. Step 4: Simplify right side
    120,205.85x = 12,429,566,128.27
  5. Step 5: Solve for x
    x = 12,429,566,128.27/120,205.85
  6. Step 6: Final answer
    x = 103,402.34

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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.