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Finding the Fourth Proportional to 75,178.76, 112,768.09 and 30,200.11

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Solution

The fourth proportional to 75,178.76, 112,768.09 and 30,200.11 is: 45,300.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,178.76 : 112,768.09 = 30,200.11 : x
  2. Step 2: Convert to fraction form
    75,178.76/112,768.09 = 30,200.11/x
  3. Step 3: Cross multiply
    75,178.76x = 112,768.09 × 30,200.11
  4. Step 4: Simplify right side
    75,178.76x = 3,405,608,365.07
  5. Step 5: Solve for x
    x = 3,405,608,365.07/75,178.76
  6. Step 6: Final answer
    x = 45,300.14

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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.