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Finding the Fourth Proportional to 138,906.57, 191,690.40 and 75,244.50

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Solution

The fourth proportional to 138,906.57, 191,690.40 and 75,244.50 is: 103,837.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,906.57 : 191,690.40 = 75,244.50 : x
  2. Step 2: Convert to fraction form
    138,906.57/191,690.40 = 75,244.50/x
  3. Step 3: Cross multiply
    138,906.57x = 191,690.40 × 75,244.50
  4. Step 4: Simplify right side
    138,906.57x = 14,423,648,302.80
  5. Step 5: Solve for x
    x = 14,423,648,302.80/138,906.57
  6. Step 6: Final answer
    x = 103,837.05

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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.