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Finding the Fourth Proportional to 85,404, 117,888.97 and 51,414.07

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Solution

The fourth proportional to 85,404, 117,888.97 and 51,414.07 is: 70,970.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,404 : 117,888.97 = 51,414.07 : x
  2. Step 2: Convert to fraction form
    85,404/117,888.97 = 51,414.07/x
  3. Step 3: Cross multiply
    85,404x = 117,888.97 × 51,414.07
  4. Step 4: Simplify right side
    85,404x = 6,061,151,755.81
  5. Step 5: Solve for x
    x = 6,061,151,755.81/85,404
  6. Step 6: Final answer
    x = 70,970.35

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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.