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Finding the Fourth Proportional to 85,382.94, 117,817.58 and 47,658.78

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Solution

The fourth proportional to 85,382.94, 117,817.58 and 47,658.78 is: 65,763.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,382.94 : 117,817.58 = 47,658.78 : x
  2. Step 2: Convert to fraction form
    85,382.94/117,817.58 = 47,658.78/x
  3. Step 3: Cross multiply
    85,382.94x = 117,817.58 × 47,658.78
  4. Step 4: Simplify right side
    85,382.94x = 5,615,042,125.35
  5. Step 5: Solve for x
    x = 5,615,042,125.35/85,382.94
  6. Step 6: Final answer
    x = 65,763.04

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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.