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Finding the Fourth Proportional to 85,205.25, 117,583.65 and 49,416.48

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Solution

The fourth proportional to 85,205.25, 117,583.65 and 49,416.48 is: 68,194.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,205.25 : 117,583.65 = 49,416.48 : x
  2. Step 2: Convert to fraction form
    85,205.25/117,583.65 = 49,416.48/x
  3. Step 3: Cross multiply
    85,205.25x = 117,583.65 × 49,416.48
  4. Step 4: Simplify right side
    85,205.25x = 5,810,570,088.55
  5. Step 5: Solve for x
    x = 5,810,570,088.55/85,205.25
  6. Step 6: Final answer
    x = 68,194.98

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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.