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Finding the Fourth Proportional to 103,208.94, 142,414.56 and 57,267.90

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Solution

The fourth proportional to 103,208.94, 142,414.56 and 57,267.90 is: 79,022.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,208.94 : 142,414.56 = 57,267.90 : x
  2. Step 2: Convert to fraction form
    103,208.94/142,414.56 = 57,267.90/x
  3. Step 3: Cross multiply
    103,208.94x = 142,414.56 × 57,267.90
  4. Step 4: Simplify right side
    103,208.94x = 8,155,782,780.62
  5. Step 5: Solve for x
    x = 8,155,782,780.62/103,208.94
  6. Step 6: Final answer
    x = 79,022.06

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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.