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Finding the Fourth Proportional to 51,864, 77,809.92 and 20,721.12

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Solution

The fourth proportional to 51,864, 77,809.92 and 20,721.12 is: 31,087.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,864 : 77,809.92 = 20,721.12 : x
  2. Step 2: Convert to fraction form
    51,864/77,809.92 = 20,721.12/x
  3. Step 3: Cross multiply
    51,864x = 77,809.92 × 20,721.12
  4. Step 4: Simplify right side
    51,864x = 1,612,308,689.51
  5. Step 5: Solve for x
    x = 1,612,308,689.51/51,864
  6. Step 6: Final answer
    x = 31,087.24

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