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Finding the Fourth Proportional to 120,643.62, 180,847.80 and 57,446.79

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Solution

The fourth proportional to 120,643.62, 180,847.80 and 57,446.79 is: 86,114.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,643.62 : 180,847.80 = 57,446.79 : x
  2. Step 2: Convert to fraction form
    120,643.62/180,847.80 = 57,446.79/x
  3. Step 3: Cross multiply
    120,643.62x = 180,847.80 × 57,446.79
  4. Step 4: Simplify right side
    120,643.62x = 10,389,125,588.56
  5. Step 5: Solve for x
    x = 10,389,125,588.56/120,643.62
  6. Step 6: Final answer
    x = 86,114.17

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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.