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Finding the Fourth Proportional to 235,441.49, 353,211.44 and 77,780.66

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Solution

The fourth proportional to 235,441.49, 353,211.44 and 77,780.66 is: 116,687.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,441.49 : 353,211.44 = 77,780.66 : x
  2. Step 2: Convert to fraction form
    235,441.49/353,211.44 = 77,780.66/x
  3. Step 3: Cross multiply
    235,441.49x = 353,211.44 × 77,780.66
  4. Step 4: Simplify right side
    235,441.49x = 27,473,016,767.79
  5. Step 5: Solve for x
    x = 27,473,016,767.79/235,441.49
  6. Step 6: Final answer
    x = 116,687.24

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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.