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Finding the Fourth Proportional to 100,864.80, 151,318.80 and 30,751.20

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Solution

The fourth proportional to 100,864.80, 151,318.80 and 30,751.20 is: 46,133.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,864.80 : 151,318.80 = 30,751.20 : x
  2. Step 2: Convert to fraction form
    100,864.80/151,318.80 = 30,751.20/x
  3. Step 3: Cross multiply
    100,864.80x = 151,318.80 × 30,751.20
  4. Step 4: Simplify right side
    100,864.80x = 4,653,234,682.56
  5. Step 5: Solve for x
    x = 4,653,234,682.56/100,864.80
  6. Step 6: Final answer
    x = 46,133.39

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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.