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Finding the Fourth Proportional to 114,144.30, 157,555.71 and 80,161.02

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Solution

The fourth proportional to 114,144.30, 157,555.71 and 80,161.02 is: 110,647.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,144.30 : 157,555.71 = 80,161.02 : x
  2. Step 2: Convert to fraction form
    114,144.30/157,555.71 = 80,161.02/x
  3. Step 3: Cross multiply
    114,144.30x = 157,555.71 × 80,161.02
  4. Step 4: Simplify right side
    114,144.30x = 12,629,826,420.42
  5. Step 5: Solve for x
    x = 12,629,826,420.42/114,144.30
  6. Step 6: Final answer
    x = 110,647.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.