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Finding the Fourth Proportional to 137,612.15, 189,904.70 and 80,240.40

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Solution

The fourth proportional to 137,612.15, 189,904.70 and 80,240.40 is: 110,731.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,612.15 : 189,904.70 = 80,240.40 : x
  2. Step 2: Convert to fraction form
    137,612.15/189,904.70 = 80,240.40/x
  3. Step 3: Cross multiply
    137,612.15x = 189,904.70 × 80,240.40
  4. Step 4: Simplify right side
    137,612.15x = 15,238,028,578.34
  5. Step 5: Solve for x
    x = 15,238,028,578.34/137,612.15
  6. Step 6: Final answer
    x = 110,731.71

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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.