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Finding the Fourth Proportional to 85,129.95, 117,469.05 and 48,829.53

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Solution

The fourth proportional to 85,129.95, 117,469.05 and 48,829.53 is: 67,378.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,129.95 : 117,469.05 = 48,829.53 : x
  2. Step 2: Convert to fraction form
    85,129.95/117,469.05 = 48,829.53/x
  3. Step 3: Cross multiply
    85,129.95x = 117,469.05 × 48,829.53
  4. Step 4: Simplify right side
    85,129.95x = 5,735,959,033.11
  5. Step 5: Solve for x
    x = 5,735,959,033.11/85,129.95
  6. Step 6: Final answer
    x = 67,378.86

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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.