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Finding the Fourth Proportional to 133,987.25, 200,718.11 and 77,709.15

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Solution

The fourth proportional to 133,987.25, 200,718.11 and 77,709.15 is: 116,411.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,987.25 : 200,718.11 = 77,709.15 : x
  2. Step 2: Convert to fraction form
    133,987.25/200,718.11 = 77,709.15/x
  3. Step 3: Cross multiply
    133,987.25x = 200,718.11 × 77,709.15
  4. Step 4: Simplify right side
    133,987.25x = 15,597,633,717.71
  5. Step 5: Solve for x
    x = 15,597,633,717.71/133,987.25
  6. Step 6: Final answer
    x = 116,411.33

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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.