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Finding the Fourth Proportional to 100,711.59, 150,931.30 and 38,348.07

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Solution

The fourth proportional to 100,711.59, 150,931.30 and 38,348.07 is: 57,470.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,711.59 : 150,931.30 = 38,348.07 : x
  2. Step 2: Convert to fraction form
    100,711.59/150,931.30 = 38,348.07/x
  3. Step 3: Cross multiply
    100,711.59x = 150,931.30 × 38,348.07
  4. Step 4: Simplify right side
    100,711.59x = 5,787,923,467.63
  5. Step 5: Solve for x
    x = 5,787,923,467.63/100,711.59
  6. Step 6: Final answer
    x = 57,470.28

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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.