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Finding the Fourth Proportional to 85,472.82, 118,083.42 and 68,283

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Solution

The fourth proportional to 85,472.82, 118,083.42 and 68,283 is: 94,335.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,472.82 : 118,083.42 = 68,283 : x
  2. Step 2: Convert to fraction form
    85,472.82/118,083.42 = 68,283/x
  3. Step 3: Cross multiply
    85,472.82x = 118,083.42 × 68,283
  4. Step 4: Simplify right side
    85,472.82x = 8,063,090,167.86
  5. Step 5: Solve for x
    x = 8,063,090,167.86/85,472.82
  6. Step 6: Final answer
    x = 94,335.14

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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.