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Finding the Fourth Proportional to 83,161.78, 114,730.68 and 51,275.32

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Solution

The fourth proportional to 83,161.78, 114,730.68 and 51,275.32 is: 70,739.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,161.78 : 114,730.68 = 51,275.32 : x
  2. Step 2: Convert to fraction form
    83,161.78/114,730.68 = 51,275.32/x
  3. Step 3: Cross multiply
    83,161.78x = 114,730.68 × 51,275.32
  4. Step 4: Simplify right side
    83,161.78x = 5,882,852,330.82
  5. Step 5: Solve for x
    x = 5,882,852,330.82/83,161.78
  6. Step 6: Final answer
    x = 70,739.86

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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.