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Finding the Fourth Proportional to 100,470.74, 150,707 and 33,001.78

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Solution

The fourth proportional to 100,470.74, 150,707 and 33,001.78 is: 49,502.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,470.74 : 150,707 = 33,001.78 : x
  2. Step 2: Convert to fraction form
    100,470.74/150,707 = 33,001.78/x
  3. Step 3: Cross multiply
    100,470.74x = 150,707 × 33,001.78
  4. Step 4: Simplify right side
    100,470.74x = 4,973,599,258.46
  5. Step 5: Solve for x
    x = 4,973,599,258.46/100,470.74
  6. Step 6: Final answer
    x = 49,502.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.