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Finding the Fourth Proportional to 223,103.61, 307,768.91 and 142,446.33

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Solution

The fourth proportional to 223,103.61, 307,768.91 and 142,446.33 is: 196,503.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,103.61 : 307,768.91 = 142,446.33 : x
  2. Step 2: Convert to fraction form
    223,103.61/307,768.91 = 142,446.33/x
  3. Step 3: Cross multiply
    223,103.61x = 307,768.91 × 142,446.33
  4. Step 4: Simplify right side
    223,103.61x = 43,840,551,005.37
  5. Step 5: Solve for x
    x = 43,840,551,005.37/223,103.61
  6. Step 6: Final answer
    x = 196,503.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.