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Finding the Fourth Proportional to 75,428.76, 113,101.68 and 48,771

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Solution

The fourth proportional to 75,428.76, 113,101.68 and 48,771 is: 73,129.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,428.76 : 113,101.68 = 48,771 : x
  2. Step 2: Convert to fraction form
    75,428.76/113,101.68 = 48,771/x
  3. Step 3: Cross multiply
    75,428.76x = 113,101.68 × 48,771
  4. Step 4: Simplify right side
    75,428.76x = 5,516,082,035.28
  5. Step 5: Solve for x
    x = 5,516,082,035.28/75,428.76
  6. Step 6: Final answer
    x = 73,129.69

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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.