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Finding the Fourth Proportional to 137,337.56, 189,537.76 and 76,907.11

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Solution

The fourth proportional to 137,337.56, 189,537.76 and 76,907.11 is: 106,138.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,337.56 : 189,537.76 = 76,907.11 : x
  2. Step 2: Convert to fraction form
    137,337.56/189,537.76 = 76,907.11/x
  3. Step 3: Cross multiply
    137,337.56x = 189,537.76 × 76,907.11
  4. Step 4: Simplify right side
    137,337.56x = 14,576,801,357.47
  5. Step 5: Solve for x
    x = 14,576,801,357.47/137,337.56
  6. Step 6: Final answer
    x = 106,138.49

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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.