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Finding the Fourth Proportional to 253,238.63, 379,870.70 and 75,747.17

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Solution

The fourth proportional to 253,238.63, 379,870.70 and 75,747.17 is: 113,624.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,238.63 : 379,870.70 = 75,747.17 : x
  2. Step 2: Convert to fraction form
    253,238.63/379,870.70 = 75,747.17/x
  3. Step 3: Cross multiply
    253,238.63x = 379,870.70 × 75,747.17
  4. Step 4: Simplify right side
    253,238.63x = 28,774,131,061.86
  5. Step 5: Solve for x
    x = 28,774,131,061.86/253,238.63
  6. Step 6: Final answer
    x = 113,624.57

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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.