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Finding the Fourth Proportional to 114,138.70, 171,412.85 and 83,009.10

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Solution

The fourth proportional to 114,138.70, 171,412.85 and 83,009.10 is: 124,662.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,138.70 : 171,412.85 = 83,009.10 : x
  2. Step 2: Convert to fraction form
    114,138.70/171,412.85 = 83,009.10/x
  3. Step 3: Cross multiply
    114,138.70x = 171,412.85 × 83,009.10
  4. Step 4: Simplify right side
    114,138.70x = 14,228,826,406.94
  5. Step 5: Solve for x
    x = 14,228,826,406.94/114,138.70
  6. Step 6: Final answer
    x = 124,662.59

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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.