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Finding the Fourth Proportional to 281,375.57, 421,804.71 and 101,416.96

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Solution

The fourth proportional to 281,375.57, 421,804.71 and 101,416.96 is: 152,032.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,375.57 : 421,804.71 = 101,416.96 : x
  2. Step 2: Convert to fraction form
    281,375.57/421,804.71 = 101,416.96/x
  3. Step 3: Cross multiply
    281,375.57x = 421,804.71 × 101,416.96
  4. Step 4: Simplify right side
    281,375.57x = 42,778,149,292.86
  5. Step 5: Solve for x
    x = 42,778,149,292.86/281,375.57
  6. Step 6: Final answer
    x = 152,032.21

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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.