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Finding the Fourth Proportional to 92,318, 138,490.40 and 29,116.76

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Solution

The fourth proportional to 92,318, 138,490.40 and 29,116.76 is: 43,679.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,318 : 138,490.40 = 29,116.76 : x
  2. Step 2: Convert to fraction form
    92,318/138,490.40 = 29,116.76/x
  3. Step 3: Cross multiply
    92,318x = 138,490.40 × 29,116.76
  4. Step 4: Simplify right side
    92,318x = 4,032,391,739.10
  5. Step 5: Solve for x
    x = 4,032,391,739.10/92,318
  6. Step 6: Final answer
    x = 43,679.37

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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.