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Finding the Fourth Proportional to 133,272.80, 199,943.80 and 39,778.56

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Solution

The fourth proportional to 133,272.80, 199,943.80 and 39,778.56 is: 59,678.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,272.80 : 199,943.80 = 39,778.56 : x
  2. Step 2: Convert to fraction form
    133,272.80/199,943.80 = 39,778.56/x
  3. Step 3: Cross multiply
    133,272.80x = 199,943.80 × 39,778.56
  4. Step 4: Simplify right side
    133,272.80x = 7,953,476,444.93
  5. Step 5: Solve for x
    x = 7,953,476,444.93/133,272.80
  6. Step 6: Final answer
    x = 59,678.17

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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.