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Finding the Fourth Proportional to 100,679.86, 138,938.31 and 55,358.60

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Solution

The fourth proportional to 100,679.86, 138,938.31 and 55,358.60 is: 76,394.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,679.86 : 138,938.31 = 55,358.60 : x
  2. Step 2: Convert to fraction form
    100,679.86/138,938.31 = 55,358.60/x
  3. Step 3: Cross multiply
    100,679.86x = 138,938.31 × 55,358.60
  4. Step 4: Simplify right side
    100,679.86x = 7,691,430,051.17
  5. Step 5: Solve for x
    x = 7,691,430,051.17/100,679.86
  6. Step 6: Final answer
    x = 76,394.93

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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.