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Finding the Fourth Proportional to 203,419.13, 305,128.71 and 78,760.13

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Solution

The fourth proportional to 203,419.13, 305,128.71 and 78,760.13 is: 118,140.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,419.13 : 305,128.71 = 78,760.13 : x
  2. Step 2: Convert to fraction form
    203,419.13/305,128.71 = 78,760.13/x
  3. Step 3: Cross multiply
    203,419.13x = 305,128.71 × 78,760.13
  4. Step 4: Simplify right side
    203,419.13x = 24,031,975,340.69
  5. Step 5: Solve for x
    x = 24,031,975,340.69/203,419.13
  6. Step 6: Final answer
    x = 118,140.20

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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.