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Finding the Fourth Proportional to 98,147.80, 147,177.90 and 35,774.56

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Solution

The fourth proportional to 98,147.80, 147,177.90 and 35,774.56 is: 53,645.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,147.80 : 147,177.90 = 35,774.56 : x
  2. Step 2: Convert to fraction form
    98,147.80/147,177.90 = 35,774.56/x
  3. Step 3: Cross multiply
    98,147.80x = 147,177.90 × 35,774.56
  4. Step 4: Simplify right side
    98,147.80x = 5,265,224,614.22
  5. Step 5: Solve for x
    x = 5,265,224,614.22/98,147.80
  6. Step 6: Final answer
    x = 53,645.88

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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.