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Finding the Fourth Proportional to 101,954.34, 140,693.03 and 56,635.20

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Solution

The fourth proportional to 101,954.34, 140,693.03 and 56,635.20 is: 78,154.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,954.34 : 140,693.03 = 56,635.20 : x
  2. Step 2: Convert to fraction form
    101,954.34/140,693.03 = 56,635.20/x
  3. Step 3: Cross multiply
    101,954.34x = 140,693.03 × 56,635.20
  4. Step 4: Simplify right side
    101,954.34x = 7,968,177,189.19
  5. Step 5: Solve for x
    x = 7,968,177,189.19/101,954.34
  6. Step 6: Final answer
    x = 78,154.37

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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.