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Finding the Fourth Proportional to 92,431.80, 138,647.70 and 30,108.60

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Solution

The fourth proportional to 92,431.80, 138,647.70 and 30,108.60 is: 45,162.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,431.80 : 138,647.70 = 30,108.60 : x
  2. Step 2: Convert to fraction form
    92,431.80/138,647.70 = 30,108.60/x
  3. Step 3: Cross multiply
    92,431.80x = 138,647.70 × 30,108.60
  4. Step 4: Simplify right side
    92,431.80x = 4,174,488,140.22
  5. Step 5: Solve for x
    x = 4,174,488,140.22/92,431.80
  6. Step 6: Final answer
    x = 45,162.90

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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.