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Finding the Fourth Proportional to 125,859, 188,788.50 and 51,988.92

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Solution

The fourth proportional to 125,859, 188,788.50 and 51,988.92 is: 77,983.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,859 : 188,788.50 = 51,988.92 : x
  2. Step 2: Convert to fraction form
    125,859/188,788.50 = 51,988.92/x
  3. Step 3: Cross multiply
    125,859x = 188,788.50 × 51,988.92
  4. Step 4: Simplify right side
    125,859x = 9,814,910,223.42
  5. Step 5: Solve for x
    x = 9,814,910,223.42/125,859
  6. Step 6: Final answer
    x = 77,983.38

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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.