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Finding the Fourth Proportional to 129,804.98, 194,721.13 and 53,894.89

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Solution

The fourth proportional to 129,804.98, 194,721.13 and 53,894.89 is: 80,848.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,804.98 : 194,721.13 = 53,894.89 : x
  2. Step 2: Convert to fraction form
    129,804.98/194,721.13 = 53,894.89/x
  3. Step 3: Cross multiply
    129,804.98x = 194,721.13 × 53,894.89
  4. Step 4: Simplify right side
    129,804.98x = 10,494,474,192.80
  5. Step 5: Solve for x
    x = 10,494,474,192.80/129,804.98
  6. Step 6: Final answer
    x = 80,848.01

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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.