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Finding the Fourth Proportional to 101,751.54, 140,414.41 and 56,429.36

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Solution

The fourth proportional to 101,751.54, 140,414.41 and 56,429.36 is: 77,871.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,751.54 : 140,414.41 = 56,429.36 : x
  2. Step 2: Convert to fraction form
    101,751.54/140,414.41 = 56,429.36/x
  3. Step 3: Cross multiply
    101,751.54x = 140,414.41 × 56,429.36
  4. Step 4: Simplify right side
    101,751.54x = 7,923,495,186.10
  5. Step 5: Solve for x
    x = 7,923,495,186.10/101,751.54
  6. Step 6: Final answer
    x = 77,871.01

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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.