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Finding the Fourth Proportional to 137,689.52, 205,981.96 and 119,171.12

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Solution

The fourth proportional to 137,689.52, 205,981.96 and 119,171.12 is: 178,278.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,689.52 : 205,981.96 = 119,171.12 : x
  2. Step 2: Convert to fraction form
    137,689.52/205,981.96 = 119,171.12/x
  3. Step 3: Cross multiply
    137,689.52x = 205,981.96 × 119,171.12
  4. Step 4: Simplify right side
    137,689.52x = 24,547,100,873.00
  5. Step 5: Solve for x
    x = 24,547,100,873.00/137,689.52
  6. Step 6: Final answer
    x = 178,278.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.