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Finding the Fourth Proportional to 115,412.70, 173,119.05 and 83,919.90

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Solution

The fourth proportional to 115,412.70, 173,119.05 and 83,919.90 is: 125,879.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,412.70 : 173,119.05 = 83,919.90 : x
  2. Step 2: Convert to fraction form
    115,412.70/173,119.05 = 83,919.90/x
  3. Step 3: Cross multiply
    115,412.70x = 173,119.05 × 83,919.90
  4. Step 4: Simplify right side
    115,412.70x = 14,528,133,364.10
  5. Step 5: Solve for x
    x = 14,528,133,364.10/115,412.70
  6. Step 6: Final answer
    x = 125,879.85

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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.