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Finding the Fourth Proportional to 54,998.88, 75,894.84 and 31,128

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Solution

The fourth proportional to 54,998.88, 75,894.84 and 31,128 is: 42,954.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,998.88 : 75,894.84 = 31,128 : x
  2. Step 2: Convert to fraction form
    54,998.88/75,894.84 = 31,128/x
  3. Step 3: Cross multiply
    54,998.88x = 75,894.84 × 31,128
  4. Step 4: Simplify right side
    54,998.88x = 2,362,454,579.52
  5. Step 5: Solve for x
    x = 2,362,454,579.52/54,998.88
  6. Step 6: Final answer
    x = 42,954.59

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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.