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Finding the Fourth Proportional to 85,569, 118,085.52 and 47,843.16

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Solution

The fourth proportional to 85,569, 118,085.52 and 47,843.16 is: 66,023.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,569 : 118,085.52 = 47,843.16 : x
  2. Step 2: Convert to fraction form
    85,569/118,085.52 = 47,843.16/x
  3. Step 3: Cross multiply
    85,569x = 118,085.52 × 47,843.16
  4. Step 4: Simplify right side
    85,569x = 5,649,584,427.04
  5. Step 5: Solve for x
    x = 5,649,584,427.04/85,569
  6. Step 6: Final answer
    x = 66,023.73

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1.5x scale

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.