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Finding the Fourth Proportional to 54,888, 75,756.42 and 31,014.96

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Solution

The fourth proportional to 54,888, 75,756.42 and 31,014.96 is: 42,806.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,888 : 75,756.42 = 31,014.96 : x
  2. Step 2: Convert to fraction form
    54,888/75,756.42 = 31,014.96/x
  3. Step 3: Cross multiply
    54,888x = 75,756.42 × 31,014.96
  4. Step 4: Simplify right side
    54,888x = 2,349,582,336.04
  5. Step 5: Solve for x
    x = 2,349,582,336.04/54,888
  6. Step 6: Final answer
    x = 42,806.85

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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.