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Finding the Fourth Proportional to 92,291.90, 138,437.85 and 75,889.40

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Solution

The fourth proportional to 92,291.90, 138,437.85 and 75,889.40 is: 113,834.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,291.90 : 138,437.85 = 75,889.40 : x
  2. Step 2: Convert to fraction form
    92,291.90/138,437.85 = 75,889.40/x
  3. Step 3: Cross multiply
    92,291.90x = 138,437.85 × 75,889.40
  4. Step 4: Simplify right side
    92,291.90x = 10,505,965,373.79
  5. Step 5: Solve for x
    x = 10,505,965,373.79/92,291.90
  6. Step 6: Final answer
    x = 113,834.10

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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.