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Finding the Fourth Proportional to 223,134.73, 307,980.61 and 137,114.55

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Solution

The fourth proportional to 223,134.73, 307,980.61 and 137,114.55 is: 189,251.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,134.73 : 307,980.61 = 137,114.55 : x
  2. Step 2: Convert to fraction form
    223,134.73/307,980.61 = 137,114.55/x
  3. Step 3: Cross multiply
    223,134.73x = 307,980.61 × 137,114.55
  4. Step 4: Simplify right side
    223,134.73x = 42,228,622,748.88
  5. Step 5: Solve for x
    x = 42,228,622,748.88/223,134.73
  6. Step 6: Final answer
    x = 189,251.68

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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.