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Finding the Fourth Proportional to 100,442.70, 138,612.40 and 55,119.89

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Solution

The fourth proportional to 100,442.70, 138,612.40 and 55,119.89 is: 76,066.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,442.70 : 138,612.40 = 55,119.89 : x
  2. Step 2: Convert to fraction form
    100,442.70/138,612.40 = 55,119.89/x
  3. Step 3: Cross multiply
    100,442.70x = 138,612.40 × 55,119.89
  4. Step 4: Simplify right side
    100,442.70x = 7,640,300,449.37
  5. Step 5: Solve for x
    x = 7,640,300,449.37/100,442.70
  6. Step 6: Final answer
    x = 76,066.26

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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.