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Finding the Fourth Proportional to 229,382.79, 343,996.27 and 87,193.84

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Solution

The fourth proportional to 229,382.79, 343,996.27 and 87,193.84 is: 130,761.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,382.79 : 343,996.27 = 87,193.84 : x
  2. Step 2: Convert to fraction form
    229,382.79/343,996.27 = 87,193.84/x
  3. Step 3: Cross multiply
    229,382.79x = 343,996.27 × 87,193.84
  4. Step 4: Simplify right side
    229,382.79x = 29,994,355,726.98
  5. Step 5: Solve for x
    x = 29,994,355,726.98/229,382.79
  6. Step 6: Final answer
    x = 130,761.14

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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.