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Finding the Fourth Proportional to 115,874.10, 173,811.15 and 80,238.90

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Solution

The fourth proportional to 115,874.10, 173,811.15 and 80,238.90 is: 120,358.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,874.10 : 173,811.15 = 80,238.90 : x
  2. Step 2: Convert to fraction form
    115,874.10/173,811.15 = 80,238.90/x
  3. Step 3: Cross multiply
    115,874.10x = 173,811.15 × 80,238.90
  4. Step 4: Simplify right side
    115,874.10x = 13,946,415,483.74
  5. Step 5: Solve for x
    x = 13,946,415,483.74/115,874.10
  6. Step 6: Final answer
    x = 120,358.35

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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.