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Finding the Fourth Proportional to 103,166.76, 142,377 and 57,847.68

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Solution

The fourth proportional to 103,166.76, 142,377 and 57,847.68 is: 79,833.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,166.76 : 142,377 = 57,847.68 : x
  2. Step 2: Convert to fraction form
    103,166.76/142,377 = 57,847.68/x
  3. Step 3: Cross multiply
    103,166.76x = 142,377 × 57,847.68
  4. Step 4: Simplify right side
    103,166.76x = 8,236,179,135.36
  5. Step 5: Solve for x
    x = 8,236,179,135.36/103,166.76
  6. Step 6: Final answer
    x = 79,833.65

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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.