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Finding the Fourth Proportional to 78,231.64, 117,374.34 and 22,835.80

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Solution

The fourth proportional to 78,231.64, 117,374.34 and 22,835.80 is: 34,261.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,231.64 : 117,374.34 = 22,835.80 : x
  2. Step 2: Convert to fraction form
    78,231.64/117,374.34 = 22,835.80/x
  3. Step 3: Cross multiply
    78,231.64x = 117,374.34 × 22,835.80
  4. Step 4: Simplify right side
    78,231.64x = 2,680,336,953.37
  5. Step 5: Solve for x
    x = 2,680,336,953.37/78,231.64
  6. Step 6: Final answer
    x = 34,261.55

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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.