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Finding the Fourth Proportional to 181,356.91, 271,960.71 and 78,780.80

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Solution

The fourth proportional to 181,356.91, 271,960.71 and 78,780.80 is: 118,138.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,356.91 : 271,960.71 = 78,780.80 : x
  2. Step 2: Convert to fraction form
    181,356.91/271,960.71 = 78,780.80/x
  3. Step 3: Cross multiply
    181,356.91x = 271,960.71 × 78,780.80
  4. Step 4: Simplify right side
    181,356.91x = 21,425,282,686.84
  5. Step 5: Solve for x
    x = 21,425,282,686.84/181,356.91
  6. Step 6: Final answer
    x = 118,138.77

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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.