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Finding the Fourth Proportional to 75,144, 112,733.28 and 25,896

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Solution

The fourth proportional to 75,144, 112,733.28 and 25,896 is: 38,849.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,144 : 112,733.28 = 25,896 : x
  2. Step 2: Convert to fraction form
    75,144/112,733.28 = 25,896/x
  3. Step 3: Cross multiply
    75,144x = 112,733.28 × 25,896
  4. Step 4: Simplify right side
    75,144x = 2,919,341,018.88
  5. Step 5: Solve for x
    x = 2,919,341,018.88/75,144
  6. Step 6: Final answer
    x = 38,849.96

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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.