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Finding the Fourth Proportional to 85,470.50, 117,949.00 and 47,228.98

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Solution

The fourth proportional to 85,470.50, 117,949.00 and 47,228.98 is: 65,175.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,470.50 : 117,949.00 = 47,228.98 : x
  2. Step 2: Convert to fraction form
    85,470.50/117,949.00 = 47,228.98/x
  3. Step 3: Cross multiply
    85,470.50x = 117,949.00 × 47,228.98
  4. Step 4: Simplify right side
    85,470.50x = 5,570,611,124.10
  5. Step 5: Solve for x
    x = 5,570,611,124.10/85,470.50
  6. Step 6: Final answer
    x = 65,175.83

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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.