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Finding the Fourth Proportional to 77,906.76, 116,848.28 and 21,740.96

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Solution

The fourth proportional to 77,906.76, 116,848.28 and 21,740.96 is: 32,608.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,906.76 : 116,848.28 = 21,740.96 : x
  2. Step 2: Convert to fraction form
    77,906.76/116,848.28 = 21,740.96/x
  3. Step 3: Cross multiply
    77,906.76x = 116,848.28 × 21,740.96
  4. Step 4: Simplify right side
    77,906.76x = 2,540,393,781.55
  5. Step 5: Solve for x
    x = 2,540,393,781.55/77,906.76
  6. Step 6: Final answer
    x = 32,608.13

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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.