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Finding the Fourth Proportional to 120,816.38, 166,744.80 and 86,937.02

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Solution

The fourth proportional to 120,816.38, 166,744.80 and 86,937.02 is: 119,986.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,816.38 : 166,744.80 = 86,937.02 : x
  2. Step 2: Convert to fraction form
    120,816.38/166,744.80 = 86,937.02/x
  3. Step 3: Cross multiply
    120,816.38x = 166,744.80 × 86,937.02
  4. Step 4: Simplify right side
    120,816.38x = 14,496,296,012.50
  5. Step 5: Solve for x
    x = 14,496,296,012.50/120,816.38
  6. Step 6: Final answer
    x = 119,986.18

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1.5x scale

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.