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Finding the Fourth Proportional to 243,007.70, 364,620.90 and 109,819.40

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Solution

The fourth proportional to 243,007.70, 364,620.90 and 109,819.40 is: 164,778.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,007.70 : 364,620.90 = 109,819.40 : x
  2. Step 2: Convert to fraction form
    243,007.70/364,620.90 = 109,819.40/x
  3. Step 3: Cross multiply
    243,007.70x = 364,620.90 × 109,819.40
  4. Step 4: Simplify right side
    243,007.70x = 40,042,448,465.46
  5. Step 5: Solve for x
    x = 40,042,448,465.46/243,007.70
  6. Step 6: Final answer
    x = 164,778.52

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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.