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Finding the Fourth Proportional to 129,657.66, 194,593.42 and 100,254.66

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Solution

The fourth proportional to 129,657.66, 194,593.42 and 100,254.66 is: 150,464.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,657.66 : 194,593.42 = 100,254.66 : x
  2. Step 2: Convert to fraction form
    129,657.66/194,593.42 = 100,254.66/x
  3. Step 3: Cross multiply
    129,657.66x = 194,593.42 × 100,254.66
  4. Step 4: Simplify right side
    129,657.66x = 19,508,897,160.34
  5. Step 5: Solve for x
    x = 19,508,897,160.34/129,657.66
  6. Step 6: Final answer
    x = 150,464.67

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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.