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Finding the Fourth Proportional to 112,158, 168,263.76 and 38,286

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Solution

The fourth proportional to 112,158, 168,263.76 and 38,286 is: 57,438.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,158 : 168,263.76 = 38,286 : x
  2. Step 2: Convert to fraction form
    112,158/168,263.76 = 38,286/x
  3. Step 3: Cross multiply
    112,158x = 168,263.76 × 38,286
  4. Step 4: Simplify right side
    112,158x = 6,442,146,315.36
  5. Step 5: Solve for x
    x = 6,442,146,315.36/112,158
  6. Step 6: Final answer
    x = 57,438.13

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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.