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Finding the Fourth Proportional to 101,760.64, 140,422.08 and 57,040

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Solution

The fourth proportional to 101,760.64, 140,422.08 and 57,040 is: 78,710.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,760.64 : 140,422.08 = 57,040 : x
  2. Step 2: Convert to fraction form
    101,760.64/140,422.08 = 57,040/x
  3. Step 3: Cross multiply
    101,760.64x = 140,422.08 × 57,040
  4. Step 4: Simplify right side
    101,760.64x = 8,009,675,443.20
  5. Step 5: Solve for x
    x = 8,009,675,443.20/101,760.64
  6. Step 6: Final answer
    x = 78,710.94

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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.