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Finding the Fourth Proportional to 189,806.64, 261,920.68 and 109,221.16

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Solution

The fourth proportional to 189,806.64, 261,920.68 and 109,221.16 is: 150,718.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,806.64 : 261,920.68 = 109,221.16 : x
  2. Step 2: Convert to fraction form
    189,806.64/261,920.68 = 109,221.16/x
  3. Step 3: Cross multiply
    189,806.64x = 261,920.68 × 109,221.16
  4. Step 4: Simplify right side
    189,806.64x = 28,607,280,497.59
  5. Step 5: Solve for x
    x = 28,607,280,497.59/189,806.64
  6. Step 6: Final answer
    x = 150,718.02

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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.