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Finding the Fourth Proportional to 281,376.57, 421,806.21 and 101,417.96

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Solution

The fourth proportional to 281,376.57, 421,806.21 and 101,417.96 is: 152,033.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,376.57 : 421,806.21 = 101,417.96 : x
  2. Step 2: Convert to fraction form
    281,376.57/421,806.21 = 101,417.96/x
  3. Step 3: Cross multiply
    281,376.57x = 421,806.21 × 101,417.96
  4. Step 4: Simplify right side
    281,376.57x = 42,778,725,333.53
  5. Step 5: Solve for x
    x = 42,778,725,333.53/281,376.57
  6. Step 6: Final answer
    x = 152,033.72

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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.