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Finding the Fourth Proportional to 125,186, 172,756.68 and 72,194

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Solution

The fourth proportional to 125,186, 172,756.68 and 72,194 is: 99,627.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,186 : 172,756.68 = 72,194 : x
  2. Step 2: Convert to fraction form
    125,186/172,756.68 = 72,194/x
  3. Step 3: Cross multiply
    125,186x = 172,756.68 × 72,194
  4. Step 4: Simplify right side
    125,186x = 12,471,995,755.92
  5. Step 5: Solve for x
    x = 12,471,995,755.92/125,186
  6. Step 6: Final answer
    x = 99,627.72

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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.