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Finding the Fourth Proportional to 281,164.62, 421,746.58 and 91,624.68

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Solution

The fourth proportional to 281,164.62, 421,746.58 and 91,624.68 is: 137,436.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,164.62 : 421,746.58 = 91,624.68 : x
  2. Step 2: Convert to fraction form
    281,164.62/421,746.58 = 91,624.68/x
  3. Step 3: Cross multiply
    281,164.62x = 421,746.58 × 91,624.68
  4. Step 4: Simplify right side
    281,164.62x = 38,642,395,433.59
  5. Step 5: Solve for x
    x = 38,642,395,433.59/281,164.62
  6. Step 6: Final answer
    x = 137,436.91

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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.