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Finding the Fourth Proportional to 111,722.64, 154,178.28 and 61,422

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Solution

The fourth proportional to 111,722.64, 154,178.28 and 61,422 is: 84,762.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,722.64 : 154,178.28 = 61,422 : x
  2. Step 2: Convert to fraction form
    111,722.64/154,178.28 = 61,422/x
  3. Step 3: Cross multiply
    111,722.64x = 154,178.28 × 61,422
  4. Step 4: Simplify right side
    111,722.64x = 9,469,938,314.16
  5. Step 5: Solve for x
    x = 9,469,938,314.16/111,722.64
  6. Step 6: Final answer
    x = 84,762.93

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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.