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Finding the Fourth Proportional to 111,772.38, 154,242.78 and 61,471.38

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Solution

The fourth proportional to 111,772.38, 154,242.78 and 61,471.38 is: 84,828.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,772.38 : 154,242.78 = 61,471.38 : x
  2. Step 2: Convert to fraction form
    111,772.38/154,242.78 = 61,471.38/x
  3. Step 3: Cross multiply
    111,772.38x = 154,242.78 × 61,471.38
  4. Step 4: Simplify right side
    111,772.38x = 9,481,516,541.64
  5. Step 5: Solve for x
    x = 9,481,516,541.64/111,772.38
  6. Step 6: Final answer
    x = 84,828.80

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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.