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Finding the Fourth Proportional to 135,099.92, 202,685.10 and 78,987.98

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Solution

The fourth proportional to 135,099.92, 202,685.10 and 78,987.98 is: 118,502.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,099.92 : 202,685.10 = 78,987.98 : x
  2. Step 2: Convert to fraction form
    135,099.92/202,685.10 = 78,987.98/x
  3. Step 3: Cross multiply
    135,099.92x = 202,685.10 × 78,987.98
  4. Step 4: Simplify right side
    135,099.92x = 16,009,686,625.10
  5. Step 5: Solve for x
    x = 16,009,686,625.10/135,099.92
  6. Step 6: Final answer
    x = 118,502.56

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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.