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Finding the Fourth Proportional to 85,486.50, 117,971.42 and 47,760.75

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Solution

The fourth proportional to 85,486.50, 117,971.42 and 47,760.75 is: 65,909.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,486.50 : 117,971.42 = 47,760.75 : x
  2. Step 2: Convert to fraction form
    85,486.50/117,971.42 = 47,760.75/x
  3. Step 3: Cross multiply
    85,486.50x = 117,971.42 × 47,760.75
  4. Step 4: Simplify right side
    85,486.50x = 5,634,403,258.96
  5. Step 5: Solve for x
    x = 5,634,403,258.96/85,486.50
  6. Step 6: Final answer
    x = 65,909.86

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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.