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Finding the Fourth Proportional to 85,410.48, 117,867.24 and 49,602

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Solution

The fourth proportional to 85,410.48, 117,867.24 and 49,602 is: 68,451.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,410.48 : 117,867.24 = 49,602 : x
  2. Step 2: Convert to fraction form
    85,410.48/117,867.24 = 49,602/x
  3. Step 3: Cross multiply
    85,410.48x = 117,867.24 × 49,602
  4. Step 4: Simplify right side
    85,410.48x = 5,846,450,838.48
  5. Step 5: Solve for x
    x = 5,846,450,838.48/85,410.48
  6. Step 6: Final answer
    x = 68,451.21

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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.