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Finding the Fourth Proportional to 102,505.80, 153,759.06 and 49,870.20

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Solution

The fourth proportional to 102,505.80, 153,759.06 and 49,870.20 is: 74,805.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,505.80 : 153,759.06 = 49,870.20 : x
  2. Step 2: Convert to fraction form
    102,505.80/153,759.06 = 49,870.20/x
  3. Step 3: Cross multiply
    102,505.80x = 153,759.06 × 49,870.20
  4. Step 4: Simplify right side
    102,505.80x = 7,667,995,074.01
  5. Step 5: Solve for x
    x = 7,667,995,074.01/102,505.80
  6. Step 6: Final answer
    x = 74,805.48

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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.