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Finding the Fourth Proportional to 78,840.70, 118,261.05 and 55,221.10

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Solution

The fourth proportional to 78,840.70, 118,261.05 and 55,221.10 is: 82,831.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,840.70 : 118,261.05 = 55,221.10 : x
  2. Step 2: Convert to fraction form
    78,840.70/118,261.05 = 55,221.10/x
  3. Step 3: Cross multiply
    78,840.70x = 118,261.05 × 55,221.10
  4. Step 4: Simplify right side
    78,840.70x = 6,530,505,268.16
  5. Step 5: Solve for x
    x = 6,530,505,268.16/78,840.70
  6. Step 6: Final answer
    x = 82,831.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.