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Finding the Fourth Proportional to 92,338.68, 138,488.10 and 29,163.72

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Solution

The fourth proportional to 92,338.68, 138,488.10 and 29,163.72 is: 43,739.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,338.68 : 138,488.10 = 29,163.72 : x
  2. Step 2: Convert to fraction form
    92,338.68/138,488.10 = 29,163.72/x
  3. Step 3: Cross multiply
    92,338.68x = 138,488.10 × 29,163.72
  4. Step 4: Simplify right side
    92,338.68x = 4,038,828,171.73
  5. Step 5: Solve for x
    x = 4,038,828,171.73/92,338.68
  6. Step 6: Final answer
    x = 43,739.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.