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Finding the Fourth Proportional to 101,744.64, 140,400 and 57,024

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Solution

The fourth proportional to 101,744.64, 140,400 and 57,024 is: 78,688.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,744.64 : 140,400 = 57,024 : x
  2. Step 2: Convert to fraction form
    101,744.64/140,400 = 57,024/x
  3. Step 3: Cross multiply
    101,744.64x = 140,400 × 57,024
  4. Step 4: Simplify right side
    101,744.64x = 8,006,169,600
  5. Step 5: Solve for x
    x = 8,006,169,600/101,744.64
  6. Step 6: Final answer
    x = 78,688.86

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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.