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Finding the Fourth Proportional to 129,803.31, 194,704.95 and 54,904.02

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Solution

The fourth proportional to 129,803.31, 194,704.95 and 54,904.02 is: 82,356.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,803.31 : 194,704.95 = 54,904.02 : x
  2. Step 2: Convert to fraction form
    129,803.31/194,704.95 = 54,904.02/x
  3. Step 3: Cross multiply
    129,803.31x = 194,704.95 × 54,904.02
  4. Step 4: Simplify right side
    129,803.31x = 10,690,084,468.90
  5. Step 5: Solve for x
    x = 10,690,084,468.90/129,803.31
  6. Step 6: Final answer
    x = 82,356.02

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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.