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Finding the Fourth Proportional to 137,458.44, 189,692.34 and 83,743.41

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Solution

The fourth proportional to 137,458.44, 189,692.34 and 83,743.41 is: 115,565.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,458.44 : 189,692.34 = 83,743.41 : x
  2. Step 2: Convert to fraction form
    137,458.44/189,692.34 = 83,743.41/x
  3. Step 3: Cross multiply
    137,458.44x = 189,692.34 × 83,743.41
  4. Step 4: Simplify right side
    137,458.44x = 15,885,483,402.48
  5. Step 5: Solve for x
    x = 15,885,483,402.48/137,458.44
  6. Step 6: Final answer
    x = 115,565.72

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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.