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Finding the Fourth Proportional to 86,216.86, 118,978.12 and 48,491.11

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Solution

The fourth proportional to 86,216.86, 118,978.12 and 48,491.11 is: 66,917.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,216.86 : 118,978.12 = 48,491.11 : x
  2. Step 2: Convert to fraction form
    86,216.86/118,978.12 = 48,491.11/x
  3. Step 3: Cross multiply
    86,216.86x = 118,978.12 × 48,491.11
  4. Step 4: Simplify right side
    86,216.86x = 5,769,380,685.84
  5. Step 5: Solve for x
    x = 5,769,380,685.84/86,216.86
  6. Step 6: Final answer
    x = 66,917.08

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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.