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Finding the Fourth Proportional to 85,486.32, 117,971.64 and 49,698.90

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Solution

The fourth proportional to 85,486.32, 117,971.64 and 49,698.90 is: 68,584.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,486.32 : 117,971.64 = 49,698.90 : x
  2. Step 2: Convert to fraction form
    85,486.32/117,971.64 = 49,698.90/x
  3. Step 3: Cross multiply
    85,486.32x = 117,971.64 × 49,698.90
  4. Step 4: Simplify right side
    85,486.32x = 5,863,060,739.20
  5. Step 5: Solve for x
    x = 5,863,060,739.20/85,486.32
  6. Step 6: Final answer
    x = 68,584.78

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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.