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Finding the Fourth Proportional to 135,587.80, 202,992.90 and 83,099.80

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Solution

The fourth proportional to 135,587.80, 202,992.90 and 83,099.80 is: 124,411.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,587.80 : 202,992.90 = 83,099.80 : x
  2. Step 2: Convert to fraction form
    135,587.80/202,992.90 = 83,099.80/x
  3. Step 3: Cross multiply
    135,587.80x = 202,992.90 × 83,099.80
  4. Step 4: Simplify right side
    135,587.80x = 16,868,669,391.42
  5. Step 5: Solve for x
    x = 16,868,669,391.42/135,587.80
  6. Step 6: Final answer
    x = 124,411.41

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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.