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Finding the Fourth Proportional to 281,237.86, 421,900.67 and 91,654.12

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Solution

The fourth proportional to 281,237.86, 421,900.67 and 91,654.12 is: 137,495.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,237.86 : 421,900.67 = 91,654.12 : x
  2. Step 2: Convert to fraction form
    281,237.86/421,900.67 = 91,654.12/x
  3. Step 3: Cross multiply
    281,237.86x = 421,900.67 × 91,654.12
  4. Step 4: Simplify right side
    281,237.86x = 38,668,934,636.26
  5. Step 5: Solve for x
    x = 38,668,934,636.26/281,237.86
  6. Step 6: Final answer
    x = 137,495.48

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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.