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Finding the Fourth Proportional to 137,171.45, 189,157.51 and 83,404.06

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Solution

The fourth proportional to 137,171.45, 189,157.51 and 83,404.06 is: 115,013.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,171.45 : 189,157.51 = 83,404.06 : x
  2. Step 2: Convert to fraction form
    137,171.45/189,157.51 = 83,404.06/x
  3. Step 3: Cross multiply
    137,171.45x = 189,157.51 × 83,404.06
  4. Step 4: Simplify right side
    137,171.45x = 15,776,503,944.85
  5. Step 5: Solve for x
    x = 15,776,503,944.85/137,171.45
  6. Step 6: Final answer
    x = 115,013.03

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1.5x scale

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.