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Finding the Fourth Proportional to 54,874.32, 75,726 and 31,000.96

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Solution

The fourth proportional to 54,874.32, 75,726 and 31,000.96 is: 42,781.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,874.32 : 75,726 = 31,000.96 : x
  2. Step 2: Convert to fraction form
    54,874.32/75,726 = 31,000.96/x
  3. Step 3: Cross multiply
    54,874.32x = 75,726 × 31,000.96
  4. Step 4: Simplify right side
    54,874.32x = 2,347,578,696.96
  5. Step 5: Solve for x
    x = 2,347,578,696.96/54,874.32
  6. Step 6: Final answer
    x = 42,781.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.