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Finding the Fourth Proportional to 101,741.28, 140,402.52 and 57,029.28

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Solution

The fourth proportional to 101,741.28, 140,402.52 and 57,029.28 is: 78,700.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,741.28 : 140,402.52 = 57,029.28 : x
  2. Step 2: Convert to fraction form
    101,741.28/140,402.52 = 57,029.28/x
  3. Step 3: Cross multiply
    101,741.28x = 140,402.52 × 57,029.28
  4. Step 4: Simplify right side
    101,741.28x = 8,007,054,625.79
  5. Step 5: Solve for x
    x = 8,007,054,625.79/101,741.28
  6. Step 6: Final answer
    x = 78,700.16

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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.