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Finding the Fourth Proportional to 189,037.59, 260,869.03 and 108,463.31

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Solution

The fourth proportional to 189,037.59, 260,869.03 and 108,463.31 is: 149,677.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,037.59 : 260,869.03 = 108,463.31 : x
  2. Step 2: Convert to fraction form
    189,037.59/260,869.03 = 108,463.31/x
  3. Step 3: Cross multiply
    189,037.59x = 260,869.03 × 108,463.31
  4. Step 4: Simplify right side
    189,037.59x = 28,294,718,470.29
  5. Step 5: Solve for x
    x = 28,294,718,470.29/189,037.59
  6. Step 6: Final answer
    x = 149,677.74

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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.