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Finding the Fourth Proportional to 189,446.76, 261,434.86 and 104,562

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Solution

The fourth proportional to 189,446.76, 261,434.86 and 104,562 is: 144,294.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,446.76 : 261,434.86 = 104,562 : x
  2. Step 2: Convert to fraction form
    189,446.76/261,434.86 = 104,562/x
  3. Step 3: Cross multiply
    189,446.76x = 261,434.86 × 104,562
  4. Step 4: Simplify right side
    189,446.76x = 27,336,151,569.92
  5. Step 5: Solve for x
    x = 27,336,151,569.92/189,446.76
  6. Step 6: Final answer
    x = 144,294.64

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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.