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Finding the Fourth Proportional to 133,877.43, 200,751.48 and 77,731.65

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Solution

The fourth proportional to 133,877.43, 200,751.48 and 77,731.65 is: 116,559.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,877.43 : 200,751.48 = 77,731.65 : x
  2. Step 2: Convert to fraction form
    133,877.43/200,751.48 = 77,731.65/x
  3. Step 3: Cross multiply
    133,877.43x = 200,751.48 × 77,731.65
  4. Step 4: Simplify right side
    133,877.43x = 15,604,743,780.34
  5. Step 5: Solve for x
    x = 15,604,743,780.34/133,877.43
  6. Step 6: Final answer
    x = 116,559.93

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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.