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Finding the Fourth Proportional to 112,911.82, 169,367.80 and 28,678.30

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Solution

The fourth proportional to 112,911.82, 169,367.80 and 28,678.30 is: 43,017.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,911.82 : 169,367.80 = 28,678.30 : x
  2. Step 2: Convert to fraction form
    112,911.82/169,367.80 = 28,678.30/x
  3. Step 3: Cross multiply
    112,911.82x = 169,367.80 × 28,678.30
  4. Step 4: Simplify right side
    112,911.82x = 4,857,180,507.04
  5. Step 5: Solve for x
    x = 4,857,180,507.04/112,911.82
  6. Step 6: Final answer
    x = 43,017.47

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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.