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Finding the Fourth Proportional to 100,165.92, 150,278.16 and 30,055.68

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Solution

The fourth proportional to 100,165.92, 150,278.16 and 30,055.68 is: 45,092.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,165.92 : 150,278.16 = 30,055.68 : x
  2. Step 2: Convert to fraction form
    100,165.92/150,278.16 = 30,055.68/x
  3. Step 3: Cross multiply
    100,165.92x = 150,278.16 × 30,055.68
  4. Step 4: Simplify right side
    100,165.92x = 4,516,712,287.95
  5. Step 5: Solve for x
    x = 4,516,712,287.95/100,165.92
  6. Step 6: Final answer
    x = 45,092.31

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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.