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Finding the Fourth Proportional to 165,162.52, 247,543.62 and 76,231

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Solution

The fourth proportional to 165,162.52, 247,543.62 and 76,231 is: 114,254.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,162.52 : 247,543.62 = 76,231 : x
  2. Step 2: Convert to fraction form
    165,162.52/247,543.62 = 76,231/x
  3. Step 3: Cross multiply
    165,162.52x = 247,543.62 × 76,231
  4. Step 4: Simplify right side
    165,162.52x = 18,870,497,696.22
  5. Step 5: Solve for x
    x = 18,870,497,696.22/165,162.52
  6. Step 6: Final answer
    x = 114,254.12

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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.