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Finding the Fourth Proportional to 111,747.30, 154,211.24 and 61,446.30

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Solution

The fourth proportional to 111,747.30, 154,211.24 and 61,446.30 is: 84,795.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,747.30 : 154,211.24 = 61,446.30 : x
  2. Step 2: Convert to fraction form
    111,747.30/154,211.24 = 61,446.30/x
  3. Step 3: Cross multiply
    111,747.30x = 154,211.24 × 61,446.30
  4. Step 4: Simplify right side
    111,747.30x = 9,475,709,809.18
  5. Step 5: Solve for x
    x = 9,475,709,809.18/111,747.30
  6. Step 6: Final answer
    x = 84,795.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.