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Finding the Fourth Proportional to 101,986, 140,749.50 and 56,663.16

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Solution

The fourth proportional to 101,986, 140,749.50 and 56,663.16 is: 78,200.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,986 : 140,749.50 = 56,663.16 : x
  2. Step 2: Convert to fraction form
    101,986/140,749.50 = 56,663.16/x
  3. Step 3: Cross multiply
    101,986x = 140,749.50 × 56,663.16
  4. Step 4: Simplify right side
    101,986x = 7,975,311,438.42
  5. Step 5: Solve for x
    x = 7,975,311,438.42/101,986
  6. Step 6: Final answer
    x = 78,200.06

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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.