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Finding the Fourth Proportional to 189,049.71, 260,886.51 and 107,377.41

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Solution

The fourth proportional to 189,049.71, 260,886.51 and 107,377.41 is: 148,179.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,049.71 : 260,886.51 = 107,377.41 : x
  2. Step 2: Convert to fraction form
    189,049.71/260,886.51 = 107,377.41/x
  3. Step 3: Cross multiply
    189,049.71x = 260,886.51 × 107,377.41
  4. Step 4: Simplify right side
    189,049.71x = 28,013,317,747.74
  5. Step 5: Solve for x
    x = 28,013,317,747.74/189,049.71
  6. Step 6: Final answer
    x = 148,179.64

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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.