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Finding the Fourth Proportional to 54,461.76, 81,535.04 and 31,904.32

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Solution

The fourth proportional to 54,461.76, 81,535.04 and 31,904.32 is: 47,764.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,461.76 : 81,535.04 = 31,904.32 : x
  2. Step 2: Convert to fraction form
    54,461.76/81,535.04 = 31,904.32/x
  3. Step 3: Cross multiply
    54,461.76x = 81,535.04 × 31,904.32
  4. Step 4: Simplify right side
    54,461.76x = 2,601,320,007.37
  5. Step 5: Solve for x
    x = 2,601,320,007.37/54,461.76
  6. Step 6: Final answer
    x = 47,764.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.