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Finding the Fourth Proportional to 229,319.08, 343,838.89 and 102,934.78

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Solution

The fourth proportional to 229,319.08, 343,838.89 and 102,934.78 is: 154,339.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,319.08 : 343,838.89 = 102,934.78 : x
  2. Step 2: Convert to fraction form
    229,319.08/343,838.89 = 102,934.78/x
  3. Step 3: Cross multiply
    229,319.08x = 343,838.89 × 102,934.78
  4. Step 4: Simplify right side
    229,319.08x = 35,392,980,497.59
  5. Step 5: Solve for x
    x = 35,392,980,497.59/229,319.08
  6. Step 6: Final answer
    x = 154,339.45

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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.