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Finding the Fourth Proportional to 137,475, 189,686.70 and 80,892.60

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Solution

The fourth proportional to 137,475, 189,686.70 and 80,892.60 is: 111,614.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,475 : 189,686.70 = 80,892.60 : x
  2. Step 2: Convert to fraction form
    137,475/189,686.70 = 80,892.60/x
  3. Step 3: Cross multiply
    137,475x = 189,686.70 × 80,892.60
  4. Step 4: Simplify right side
    137,475x = 15,344,250,348.42
  5. Step 5: Solve for x
    x = 15,344,250,348.42/137,475
  6. Step 6: Final answer
    x = 111,614.84

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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.