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Finding the Fourth Proportional to 85,291.70, 117,701.24 and 49,487.87

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Solution

The fourth proportional to 85,291.70, 117,701.24 and 49,487.87 is: 68,292.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,291.70 : 117,701.24 = 49,487.87 : x
  2. Step 2: Convert to fraction form
    85,291.70/117,701.24 = 49,487.87/x
  3. Step 3: Cross multiply
    85,291.70x = 117,701.24 × 49,487.87
  4. Step 4: Simplify right side
    85,291.70x = 5,824,783,710.77
  5. Step 5: Solve for x
    x = 5,824,783,710.77/85,291.70
  6. Step 6: Final answer
    x = 68,292.51

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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.