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Finding the Fourth Proportional to 75,471.89, 113,211.69 and 19,312.48

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Solution

The fourth proportional to 75,471.89, 113,211.69 and 19,312.48 is: 28,969.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,471.89 : 113,211.69 = 19,312.48 : x
  2. Step 2: Convert to fraction form
    75,471.89/113,211.69 = 19,312.48/x
  3. Step 3: Cross multiply
    75,471.89x = 113,211.69 × 19,312.48
  4. Step 4: Simplify right side
    75,471.89x = 2,186,398,498.89
  5. Step 5: Solve for x
    x = 2,186,398,498.89/75,471.89
  6. Step 6: Final answer
    x = 28,969.71

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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.