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Finding the Fourth Proportional to 80,783.82, 121,192.13 and 34,036.70

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Solution

The fourth proportional to 80,783.82, 121,192.13 and 34,036.70 is: 51,061.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,783.82 : 121,192.13 = 34,036.70 : x
  2. Step 2: Convert to fraction form
    80,783.82/121,192.13 = 34,036.70/x
  3. Step 3: Cross multiply
    80,783.82x = 121,192.13 × 34,036.70
  4. Step 4: Simplify right side
    80,783.82x = 4,124,979,395.03
  5. Step 5: Solve for x
    x = 4,124,979,395.03/80,783.82
  6. Step 6: Final answer
    x = 51,061.95

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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.