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Finding the Fourth Proportional to 229,967.58, 345,008.78 and 80,210.02

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Solution

The fourth proportional to 229,967.58, 345,008.78 and 80,210.02 is: 120,335.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,967.58 : 345,008.78 = 80,210.02 : x
  2. Step 2: Convert to fraction form
    229,967.58/345,008.78 = 80,210.02/x
  3. Step 3: Cross multiply
    229,967.58x = 345,008.78 × 80,210.02
  4. Step 4: Simplify right side
    229,967.58x = 27,673,161,474.97
  5. Step 5: Solve for x
    x = 27,673,161,474.97/229,967.58
  6. Step 6: Final answer
    x = 120,335.06

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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.