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Finding the Fourth Proportional to 120,199, 165,880.92 and 69,219.40

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Solution

The fourth proportional to 120,199, 165,880.92 and 69,219.40 is: 95,526.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,199 : 165,880.92 = 69,219.40 : x
  2. Step 2: Convert to fraction form
    120,199/165,880.92 = 69,219.40/x
  3. Step 3: Cross multiply
    120,199x = 165,880.92 × 69,219.40
  4. Step 4: Simplify right side
    120,199x = 11,482,177,753.85
  5. Step 5: Solve for x
    x = 11,482,177,753.85/120,199
  6. Step 6: Final answer
    x = 95,526.40

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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.