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Finding the Fourth Proportional to 100,435.28, 150,677.28 and 30,310.40

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Solution

The fourth proportional to 100,435.28, 150,677.28 and 30,310.40 is: 45,472.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,435.28 : 150,677.28 = 30,310.40 : x
  2. Step 2: Convert to fraction form
    100,435.28/150,677.28 = 30,310.40/x
  3. Step 3: Cross multiply
    100,435.28x = 150,677.28 × 30,310.40
  4. Step 4: Simplify right side
    100,435.28x = 4,567,088,627.71
  5. Step 5: Solve for x
    x = 4,567,088,627.71/100,435.28
  6. Step 6: Final answer
    x = 45,472.95

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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.