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Finding the Fourth Proportional to 194,171.20, 291,242.40 and 81,822.40

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Solution

The fourth proportional to 194,171.20, 291,242.40 and 81,822.40 is: 122,727.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,171.20 : 291,242.40 = 81,822.40 : x
  2. Step 2: Convert to fraction form
    194,171.20/291,242.40 = 81,822.40/x
  3. Step 3: Cross multiply
    194,171.20x = 291,242.40 × 81,822.40
  4. Step 4: Simplify right side
    194,171.20x = 23,830,152,149.76
  5. Step 5: Solve for x
    x = 23,830,152,149.76/194,171.20
  6. Step 6: Final answer
    x = 122,727.53

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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.