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Finding the Fourth Proportional to 100,507.14, 150,760.56 and 78,337.14

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Solution

The fourth proportional to 100,507.14, 150,760.56 and 78,337.14 is: 117,505.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,507.14 : 150,760.56 = 78,337.14 : x
  2. Step 2: Convert to fraction form
    100,507.14/150,760.56 = 78,337.14/x
  3. Step 3: Cross multiply
    100,507.14x = 150,760.56 × 78,337.14
  4. Step 4: Simplify right side
    100,507.14x = 11,810,151,095.20
  5. Step 5: Solve for x
    x = 11,810,151,095.20/100,507.14
  6. Step 6: Final answer
    x = 117,505.59

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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.