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Finding the Fourth Proportional to 137,049.55, 189,117.93 and 83,327.11

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Solution

The fourth proportional to 137,049.55, 189,117.93 and 83,327.11 is: 114,985.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,049.55 : 189,117.93 = 83,327.11 : x
  2. Step 2: Convert to fraction form
    137,049.55/189,117.93 = 83,327.11/x
  3. Step 3: Cross multiply
    137,049.55x = 189,117.93 × 83,327.11
  4. Step 4: Simplify right side
    137,049.55x = 15,758,650,556.08
  5. Step 5: Solve for x
    x = 15,758,650,556.08/137,049.55
  6. Step 6: Final answer
    x = 114,985.06

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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.