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Finding the Fourth Proportional to 208,279.96, 312,371.20 and 58,534.56

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Solution

The fourth proportional to 208,279.96, 312,371.20 and 58,534.56 is: 87,788.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,279.96 : 312,371.20 = 58,534.56 : x
  2. Step 2: Convert to fraction form
    208,279.96/312,371.20 = 58,534.56/x
  3. Step 3: Cross multiply
    208,279.96x = 312,371.20 × 58,534.56
  4. Step 4: Simplify right side
    208,279.96x = 18,284,510,748.67
  5. Step 5: Solve for x
    x = 18,284,510,748.67/208,279.96
  6. Step 6: Final answer
    x = 87,788.14

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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.