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Finding the Fourth Proportional to 85,547.81, 128,321.78 and 23,218.31

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Solution

The fourth proportional to 85,547.81, 128,321.78 and 23,218.31 is: 34,827.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,547.81 : 128,321.78 = 23,218.31 : x
  2. Step 2: Convert to fraction form
    85,547.81/128,321.78 = 23,218.31/x
  3. Step 3: Cross multiply
    85,547.81x = 128,321.78 × 23,218.31
  4. Step 4: Simplify right side
    85,547.81x = 2,979,414,110.09
  5. Step 5: Solve for x
    x = 2,979,414,110.09/85,547.81
  6. Step 6: Final answer
    x = 34,827.48

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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.