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Finding the Fourth Proportional to 138,295.89, 190,446.80 and 120,138.39

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Solution

The fourth proportional to 138,295.89, 190,446.80 and 120,138.39 is: 165,442.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,295.89 : 190,446.80 = 120,138.39 : x
  2. Step 2: Convert to fraction form
    138,295.89/190,446.80 = 120,138.39/x
  3. Step 3: Cross multiply
    138,295.89x = 190,446.80 × 120,138.39
  4. Step 4: Simplify right side
    138,295.89x = 22,879,971,331.96
  5. Step 5: Solve for x
    x = 22,879,971,331.96/138,295.89
  6. Step 6: Final answer
    x = 165,442.16

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1.5x scale

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.