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Finding the Fourth Proportional to 194,492.80, 291,703.20 and 54,222.40

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Solution

The fourth proportional to 194,492.80, 291,703.20 and 54,222.40 is: 81,323.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,492.80 : 291,703.20 = 54,222.40 : x
  2. Step 2: Convert to fraction form
    194,492.80/291,703.20 = 54,222.40/x
  3. Step 3: Cross multiply
    194,492.80x = 291,703.20 × 54,222.40
  4. Step 4: Simplify right side
    194,492.80x = 15,816,847,591.68
  5. Step 5: Solve for x
    x = 15,816,847,591.68/194,492.80
  6. Step 6: Final answer
    x = 81,323.56

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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.