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Finding the Fourth Proportional to 188,306.92, 259,862.66 and 102,265.30

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Solution

The fourth proportional to 188,306.92, 259,862.66 and 102,265.30 is: 141,125.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,306.92 : 259,862.66 = 102,265.30 : x
  2. Step 2: Convert to fraction form
    188,306.92/259,862.66 = 102,265.30/x
  3. Step 3: Cross multiply
    188,306.92x = 259,862.66 × 102,265.30
  4. Step 4: Simplify right side
    188,306.92x = 26,574,932,106.21
  5. Step 5: Solve for x
    x = 26,574,932,106.21/188,306.92
  6. Step 6: Final answer
    x = 141,125.63

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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.