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Finding the Fourth Proportional to 103,806.78, 143,244.75 and 58,470.30

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Solution

The fourth proportional to 103,806.78, 143,244.75 and 58,470.30 is: 80,684.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,806.78 : 143,244.75 = 58,470.30 : x
  2. Step 2: Convert to fraction form
    103,806.78/143,244.75 = 58,470.30/x
  3. Step 3: Cross multiply
    103,806.78x = 143,244.75 × 58,470.30
  4. Step 4: Simplify right side
    103,806.78x = 8,375,563,505.93
  5. Step 5: Solve for x
    x = 8,375,563,505.93/103,806.78
  6. Step 6: Final answer
    x = 80,684.17

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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.