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Finding the Fourth Proportional to 99,806.34, 137,755.91 and 65,820.96

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Solution

The fourth proportional to 99,806.34, 137,755.91 and 65,820.96 is: 90,848.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,806.34 : 137,755.91 = 65,820.96 : x
  2. Step 2: Convert to fraction form
    99,806.34/137,755.91 = 65,820.96/x
  3. Step 3: Cross multiply
    99,806.34x = 137,755.91 × 65,820.96
  4. Step 4: Simplify right side
    99,806.34x = 9,067,225,912.77
  5. Step 5: Solve for x
    x = 9,067,225,912.77/99,806.34
  6. Step 6: Final answer
    x = 90,848.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.