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Finding the Fourth Proportional to 100,872.84, 151,333.56 and 30,747.84

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Solution

The fourth proportional to 100,872.84, 151,333.56 and 30,747.84 is: 46,129.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,872.84 : 151,333.56 = 30,747.84 : x
  2. Step 2: Convert to fraction form
    100,872.84/151,333.56 = 30,747.84/x
  3. Step 3: Cross multiply
    100,872.84x = 151,333.56 × 30,747.84
  4. Step 4: Simplify right side
    100,872.84x = 4,653,180,089.51
  5. Step 5: Solve for x
    x = 4,653,180,089.51/100,872.84
  6. Step 6: Final answer
    x = 46,129.17

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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.