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Finding the Fourth Proportional to 137,257, 189,285.06 and 89,546.92

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Solution

The fourth proportional to 137,257, 189,285.06 and 89,546.92 is: 123,490.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,257 : 189,285.06 = 89,546.92 : x
  2. Step 2: Convert to fraction form
    137,257/189,285.06 = 89,546.92/x
  3. Step 3: Cross multiply
    137,257x = 189,285.06 × 89,546.92
  4. Step 4: Simplify right side
    137,257x = 16,949,894,125.02
  5. Step 5: Solve for x
    x = 16,949,894,125.02/137,257
  6. Step 6: Final answer
    x = 123,490.20

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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.