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Finding the Fourth Proportional to 281,163.89, 421,702.53 and 91,623.80

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Solution

The fourth proportional to 281,163.89, 421,702.53 and 91,623.80 is: 137,421.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,163.89 : 421,702.53 = 91,623.80 : x
  2. Step 2: Convert to fraction form
    281,163.89/421,702.53 = 91,623.80/x
  3. Step 3: Cross multiply
    281,163.89x = 421,702.53 × 91,623.80
  4. Step 4: Simplify right side
    281,163.89x = 38,637,986,159.70
  5. Step 5: Solve for x
    x = 38,637,986,159.70/281,163.89
  6. Step 6: Final answer
    x = 137,421.58

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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.