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Finding the Fourth Proportional to 54,876.12, 75,730.52 and 31,006.32

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Solution

The fourth proportional to 54,876.12, 75,730.52 and 31,006.32 is: 42,789.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,876.12 : 75,730.52 = 31,006.32 : x
  2. Step 2: Convert to fraction form
    54,876.12/75,730.52 = 31,006.32/x
  3. Step 3: Cross multiply
    54,876.12x = 75,730.52 × 31,006.32
  4. Step 4: Simplify right side
    54,876.12x = 2,348,124,736.89
  5. Step 5: Solve for x
    x = 2,348,124,736.89/54,876.12
  6. Step 6: Final answer
    x = 42,789.55

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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.