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Finding the Fourth Proportional to 281,011.70, 421,411.75 and 91,422.47

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Solution

The fourth proportional to 281,011.70, 421,411.75 and 91,422.47 is: 137,099.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,011.70 : 421,411.75 = 91,422.47 : x
  2. Step 2: Convert to fraction form
    281,011.70/421,411.75 = 91,422.47/x
  3. Step 3: Cross multiply
    281,011.70x = 421,411.75 × 91,422.47
  4. Step 4: Simplify right side
    281,011.70x = 38,526,503,072.02
  5. Step 5: Solve for x
    x = 38,526,503,072.02/281,011.70
  6. Step 6: Final answer
    x = 137,099.28

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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.