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Finding the Fourth Proportional to 128,944, 177,943.36 and 75,266.24

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Solution

The fourth proportional to 128,944, 177,943.36 and 75,266.24 is: 103,867.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,944 : 177,943.36 = 75,266.24 : x
  2. Step 2: Convert to fraction form
    128,944/177,943.36 = 75,266.24/x
  3. Step 3: Cross multiply
    128,944x = 177,943.36 × 75,266.24
  4. Step 4: Simplify right side
    128,944x = 13,393,127,640.17
  5. Step 5: Solve for x
    x = 13,393,127,640.17/128,944
  6. Step 6: Final answer
    x = 103,867.78

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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.