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Finding the Fourth Proportional to 281,164.39, 421,703.28 and 91,624.30

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Solution

The fourth proportional to 281,164.39, 421,703.28 and 91,624.30 is: 137,422.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,164.39 : 421,703.28 = 91,624.30 : x
  2. Step 2: Convert to fraction form
    281,164.39/421,703.28 = 91,624.30/x
  3. Step 3: Cross multiply
    281,164.39x = 421,703.28 × 91,624.30
  4. Step 4: Simplify right side
    281,164.39x = 38,638,265,729.19
  5. Step 5: Solve for x
    x = 38,638,265,729.19/281,164.39
  6. Step 6: Final answer
    x = 137,422.33

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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.