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Finding the Fourth Proportional to 101,784, 140,461.92 and 57,072

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Solution

The fourth proportional to 101,784, 140,461.92 and 57,072 is: 78,759.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,784 : 140,461.92 = 57,072 : x
  2. Step 2: Convert to fraction form
    101,784/140,461.92 = 57,072/x
  3. Step 3: Cross multiply
    101,784x = 140,461.92 × 57,072
  4. Step 4: Simplify right side
    101,784x = 8,016,442,698.24
  5. Step 5: Solve for x
    x = 8,016,442,698.24/101,784
  6. Step 6: Final answer
    x = 78,759.36

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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.