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Finding the Fourth Proportional to 137,500, 189,606.08 and 101,764.96

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Solution

The fourth proportional to 137,500, 189,606.08 and 101,764.96 is: 140,329.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,500 : 189,606.08 = 101,764.96 : x
  2. Step 2: Convert to fraction form
    137,500/189,606.08 = 101,764.96/x
  3. Step 3: Cross multiply
    137,500x = 189,606.08 × 101,764.96
  4. Step 4: Simplify right side
    137,500x = 19,295,255,146.96
  5. Step 5: Solve for x
    x = 19,295,255,146.96/137,500
  6. Step 6: Final answer
    x = 140,329.13

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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.