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Finding the Fourth Proportional to 77,902.76, 116,842.28 and 21,736.96

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Solution

The fourth proportional to 77,902.76, 116,842.28 and 21,736.96 is: 32,602.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,902.76 : 116,842.28 = 21,736.96 : x
  2. Step 2: Convert to fraction form
    77,902.76/116,842.28 = 21,736.96/x
  3. Step 3: Cross multiply
    77,902.76x = 116,842.28 × 21,736.96
  4. Step 4: Simplify right side
    77,902.76x = 2,539,795,966.67
  5. Step 5: Solve for x
    x = 2,539,795,966.67/77,902.76
  6. Step 6: Final answer
    x = 32,602.13

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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.