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Finding the Fourth Proportional to 99,778.56, 137,712.16 and 59,494.96

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Solution

The fourth proportional to 99,778.56, 137,712.16 and 59,494.96 is: 82,113.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,778.56 : 137,712.16 = 59,494.96 : x
  2. Step 2: Convert to fraction form
    99,778.56/137,712.16 = 59,494.96/x
  3. Step 3: Cross multiply
    99,778.56x = 137,712.16 × 59,494.96
  4. Step 4: Simplify right side
    99,778.56x = 8,193,179,450.71
  5. Step 5: Solve for x
    x = 8,193,179,450.71/99,778.56
  6. Step 6: Final answer
    x = 82,113.63

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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.