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Finding the Fourth Proportional to 54,336.42, 81,497.70 and 21,033.70

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Solution

The fourth proportional to 54,336.42, 81,497.70 and 21,033.70 is: 31,547.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,336.42 : 81,497.70 = 21,033.70 : x
  2. Step 2: Convert to fraction form
    54,336.42/81,497.70 = 21,033.70/x
  3. Step 3: Cross multiply
    54,336.42x = 81,497.70 × 21,033.70
  4. Step 4: Simplify right side
    54,336.42x = 1,714,198,172.49
  5. Step 5: Solve for x
    x = 1,714,198,172.49/54,336.42
  6. Step 6: Final answer
    x = 31,547.87

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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.