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Finding the Fourth Proportional to 54,980.96, 75,876.96 and 31,110

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Solution

The fourth proportional to 54,980.96, 75,876.96 and 31,110 is: 42,933.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,980.96 : 75,876.96 = 31,110 : x
  2. Step 2: Convert to fraction form
    54,980.96/75,876.96 = 31,110/x
  3. Step 3: Cross multiply
    54,980.96x = 75,876.96 × 31,110
  4. Step 4: Simplify right side
    54,980.96x = 2,360,532,225.60
  5. Step 5: Solve for x
    x = 2,360,532,225.60/54,980.96
  6. Step 6: Final answer
    x = 42,933.63

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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.