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Finding the Fourth Proportional to 100,459.96, 150,689.94 and 38,130.46

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Solution

The fourth proportional to 100,459.96, 150,689.94 and 38,130.46 is: 57,195.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,459.96 : 150,689.94 = 38,130.46 : x
  2. Step 2: Convert to fraction form
    100,459.96/150,689.94 = 38,130.46/x
  3. Step 3: Cross multiply
    100,459.96x = 150,689.94 × 38,130.46
  4. Step 4: Simplify right side
    100,459.96x = 5,745,876,729.57
  5. Step 5: Solve for x
    x = 5,745,876,729.57/100,459.96
  6. Step 6: Final answer
    x = 57,195.69

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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.