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Finding the Fourth Proportional to 77,586, 107,068.68 and 42,258

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Solution

The fourth proportional to 77,586, 107,068.68 and 42,258 is: 58,316.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,586 : 107,068.68 = 42,258 : x
  2. Step 2: Convert to fraction form
    77,586/107,068.68 = 42,258/x
  3. Step 3: Cross multiply
    77,586x = 107,068.68 × 42,258
  4. Step 4: Simplify right side
    77,586x = 4,524,508,279.44
  5. Step 5: Solve for x
    x = 4,524,508,279.44/77,586
  6. Step 6: Final answer
    x = 58,316.04

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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.