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Finding the Fourth Proportional to 74,733.05, 111,604.21 and 65,678.87

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Solution

The fourth proportional to 74,733.05, 111,604.21 and 65,678.87 is: 98,082.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,733.05 : 111,604.21 = 65,678.87 : x
  2. Step 2: Convert to fraction form
    74,733.05/111,604.21 = 65,678.87/x
  3. Step 3: Cross multiply
    74,733.05x = 111,604.21 × 65,678.87
  4. Step 4: Simplify right side
    74,733.05x = 7,330,038,400.04
  5. Step 5: Solve for x
    x = 7,330,038,400.04/74,733.05
  6. Step 6: Final answer
    x = 98,082.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.