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Finding the Fourth Proportional to 229,374.45, 343,921.95 and 102,990.15

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Solution

The fourth proportional to 229,374.45, 343,921.95 and 102,990.15 is: 154,422.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,374.45 : 343,921.95 = 102,990.15 : x
  2. Step 2: Convert to fraction form
    229,374.45/343,921.95 = 102,990.15/x
  3. Step 3: Cross multiply
    229,374.45x = 343,921.95 × 102,990.15
  4. Step 4: Simplify right side
    229,374.45x = 35,420,573,218.79
  5. Step 5: Solve for x
    x = 35,420,573,218.79/229,374.45
  6. Step 6: Final answer
    x = 154,422.49

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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.