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Finding the Fourth Proportional to 100,167.92, 150,281.16 and 30,057.68

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Solution

The fourth proportional to 100,167.92, 150,281.16 and 30,057.68 is: 45,095.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,167.92 : 150,281.16 = 30,057.68 : x
  2. Step 2: Convert to fraction form
    100,167.92/150,281.16 = 30,057.68/x
  3. Step 3: Cross multiply
    100,167.92x = 150,281.16 × 30,057.68
  4. Step 4: Simplify right side
    100,167.92x = 4,517,103,017.31
  5. Step 5: Solve for x
    x = 4,517,103,017.31/100,167.92
  6. Step 6: Final answer
    x = 45,095.31

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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.