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Finding the Fourth Proportional to 101,518.31, 140,048.73 and 65,719.86

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Solution

The fourth proportional to 101,518.31, 140,048.73 and 65,719.86 is: 90,663.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,518.31 : 140,048.73 = 65,719.86 : x
  2. Step 2: Convert to fraction form
    101,518.31/140,048.73 = 65,719.86/x
  3. Step 3: Cross multiply
    101,518.31x = 140,048.73 × 65,719.86
  4. Step 4: Simplify right side
    101,518.31x = 9,203,982,403.60
  5. Step 5: Solve for x
    x = 9,203,982,403.60/101,518.31
  6. Step 6: Final answer
    x = 90,663.27

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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.