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Finding the Fourth Proportional to 138,155.52, 190,644.44 and 76,904.03

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Solution

The fourth proportional to 138,155.52, 190,644.44 and 76,904.03 is: 106,121.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,155.52 : 190,644.44 = 76,904.03 : x
  2. Step 2: Convert to fraction form
    138,155.52/190,644.44 = 76,904.03/x
  3. Step 3: Cross multiply
    138,155.52x = 190,644.44 × 76,904.03
  4. Step 4: Simplify right side
    138,155.52x = 14,661,325,825.18
  5. Step 5: Solve for x
    x = 14,661,325,825.18/138,155.52
  6. Step 6: Final answer
    x = 106,121.89

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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.