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Finding the Fourth Proportional to 100,885.74, 151,328.20 and 30,764.85

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Solution

The fourth proportional to 100,885.74, 151,328.20 and 30,764.85 is: 46,147.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,885.74 : 151,328.20 = 30,764.85 : x
  2. Step 2: Convert to fraction form
    100,885.74/151,328.20 = 30,764.85/x
  3. Step 3: Cross multiply
    100,885.74x = 151,328.20 × 30,764.85
  4. Step 4: Simplify right side
    100,885.74x = 4,655,589,373.77
  5. Step 5: Solve for x
    x = 4,655,589,373.77/100,885.74
  6. Step 6: Final answer
    x = 46,147.15

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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.