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Finding the Fourth Proportional to 85,354.75, 117,836.73 and 51,371.57

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Solution

The fourth proportional to 85,354.75, 117,836.73 and 51,371.57 is: 70,921.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,354.75 : 117,836.73 = 51,371.57 : x
  2. Step 2: Convert to fraction form
    85,354.75/117,836.73 = 51,371.57/x
  3. Step 3: Cross multiply
    85,354.75x = 117,836.73 × 51,371.57
  4. Step 4: Simplify right side
    85,354.75x = 6,053,457,566.91
  5. Step 5: Solve for x
    x = 6,053,457,566.91/85,354.75
  6. Step 6: Final answer
    x = 70,921.16

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Why These Related Problems?

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