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Finding the Fourth Proportional to 129,802.20, 194,670.90 and 49,822.80

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Solution

The fourth proportional to 129,802.20, 194,670.90 and 49,822.80 is: 74,721.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,802.20 : 194,670.90 = 49,822.80 : x
  2. Step 2: Convert to fraction form
    129,802.20/194,670.90 = 49,822.80/x
  3. Step 3: Cross multiply
    129,802.20x = 194,670.90 × 49,822.80
  4. Step 4: Simplify right side
    129,802.20x = 9,699,049,316.52
  5. Step 5: Solve for x
    x = 9,699,049,316.52/129,802.20
  6. Step 6: Final answer
    x = 74,721.76

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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.