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Finding the Fourth Proportional to 137,478, 189,690.84 and 80,895.60

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Solution

The fourth proportional to 137,478, 189,690.84 and 80,895.60 is: 111,618.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,478 : 189,690.84 = 80,895.60 : x
  2. Step 2: Convert to fraction form
    137,478/189,690.84 = 80,895.60/x
  3. Step 3: Cross multiply
    137,478x = 189,690.84 × 80,895.60
  4. Step 4: Simplify right side
    137,478x = 15,345,154,316.30
  5. Step 5: Solve for x
    x = 15,345,154,316.30/137,478
  6. Step 6: Final answer
    x = 111,618.98

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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.