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Finding the Fourth Proportional to 117,538, 162,271.66 and 71,614.97

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Solution

The fourth proportional to 117,538, 162,271.66 and 71,614.97 is: 98,870.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,538 : 162,271.66 = 71,614.97 : x
  2. Step 2: Convert to fraction form
    117,538/162,271.66 = 71,614.97/x
  3. Step 3: Cross multiply
    117,538x = 162,271.66 × 71,614.97
  4. Step 4: Simplify right side
    117,538x = 11,621,080,062.75
  5. Step 5: Solve for x
    x = 11,621,080,062.75/117,538
  6. Step 6: Final answer
    x = 98,870.83

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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.