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Finding the Fourth Proportional to 103,550.76, 142,948.19 and 78,067.49

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Solution

The fourth proportional to 103,550.76, 142,948.19 and 78,067.49 is: 107,769.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,550.76 : 142,948.19 = 78,067.49 : x
  2. Step 2: Convert to fraction form
    103,550.76/142,948.19 = 78,067.49/x
  3. Step 3: Cross multiply
    103,550.76x = 142,948.19 × 78,067.49
  4. Step 4: Simplify right side
    103,550.76x = 11,159,605,873.77
  5. Step 5: Solve for x
    x = 11,159,605,873.77/103,550.76
  6. Step 6: Final answer
    x = 107,769.43

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1.5x scale

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.