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Finding the Fourth Proportional to 136,974.80, 189,045.96 and 80,411.60

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Solution

The fourth proportional to 136,974.80, 189,045.96 and 80,411.60 is: 110,980.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,974.80 : 189,045.96 = 80,411.60 : x
  2. Step 2: Convert to fraction form
    136,974.80/189,045.96 = 80,411.60/x
  3. Step 3: Cross multiply
    136,974.80x = 189,045.96 × 80,411.60
  4. Step 4: Simplify right side
    136,974.80x = 15,201,488,117.14
  5. Step 5: Solve for x
    x = 15,201,488,117.14/136,974.80
  6. Step 6: Final answer
    x = 110,980.18

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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.