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Finding the Fourth Proportional to 101,742.78, 140,404.59 and 57,030.78

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Solution

The fourth proportional to 101,742.78, 140,404.59 and 57,030.78 is: 78,702.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,742.78 : 140,404.59 = 57,030.78 : x
  2. Step 2: Convert to fraction form
    101,742.78/140,404.59 = 57,030.78/x
  3. Step 3: Cross multiply
    101,742.78x = 140,404.59 × 57,030.78
  4. Step 4: Simplify right side
    101,742.78x = 8,007,383,283.28
  5. Step 5: Solve for x
    x = 8,007,383,283.28/101,742.78
  6. Step 6: Final answer
    x = 78,702.23

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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.