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Finding the Fourth Proportional to 100,187.84, 150,178.08 and 47,557.28

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Solution

The fourth proportional to 100,187.84, 150,178.08 and 47,557.28 is: 71,286.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,187.84 : 150,178.08 = 47,557.28 : x
  2. Step 2: Convert to fraction form
    100,187.84/150,178.08 = 47,557.28/x
  3. Step 3: Cross multiply
    100,187.84x = 150,178.08 × 47,557.28
  4. Step 4: Simplify right side
    100,187.84x = 7,142,061,000.42
  5. Step 5: Solve for x
    x = 7,142,061,000.42/100,187.84
  6. Step 6: Final answer
    x = 71,286.71

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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.