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Finding the Fourth Proportional to 202,023, 278,800.38 and 112,599

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Solution

The fourth proportional to 202,023, 278,800.38 and 112,599 is: 155,391.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,023 : 278,800.38 = 112,599 : x
  2. Step 2: Convert to fraction form
    202,023/278,800.38 = 112,599/x
  3. Step 3: Cross multiply
    202,023x = 278,800.38 × 112,599
  4. Step 4: Simplify right side
    202,023x = 31,392,643,987.62
  5. Step 5: Solve for x
    x = 31,392,643,987.62/202,023
  6. Step 6: Final answer
    x = 155,391.44

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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.