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Finding the Fourth Proportional to 107,112.42, 159,711 and 104,169.78

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Solution

The fourth proportional to 107,112.42, 159,711 and 104,169.78 is: 155,323.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,112.42 : 159,711 = 104,169.78 : x
  2. Step 2: Convert to fraction form
    107,112.42/159,711 = 104,169.78/x
  3. Step 3: Cross multiply
    107,112.42x = 159,711 × 104,169.78
  4. Step 4: Simplify right side
    107,112.42x = 16,637,059,733.58
  5. Step 5: Solve for x
    x = 16,637,059,733.58/107,112.42
  6. Step 6: Final answer
    x = 155,323.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.