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Finding the Fourth Proportional to 100,419.65, 150,628.82 and 25,539.15

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Solution

The fourth proportional to 100,419.65, 150,628.82 and 25,539.15 is: 38,308.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,419.65 : 150,628.82 = 25,539.15 : x
  2. Step 2: Convert to fraction form
    100,419.65/150,628.82 = 25,539.15/x
  3. Step 3: Cross multiply
    100,419.65x = 150,628.82 × 25,539.15
  4. Step 4: Simplify right side
    100,419.65x = 3,846,931,275.16
  5. Step 5: Solve for x
    x = 3,846,931,275.16/100,419.65
  6. Step 6: Final answer
    x = 38,308.55

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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.