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Finding the Fourth Proportional to 101,983.64, 140,735.30 and 56,658.96

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Solution

The fourth proportional to 101,983.64, 140,735.30 and 56,658.96 is: 78,188.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,983.64 : 140,735.30 = 56,658.96 : x
  2. Step 2: Convert to fraction form
    101,983.64/140,735.30 = 56,658.96/x
  3. Step 3: Cross multiply
    101,983.64x = 140,735.30 × 56,658.96
  4. Step 4: Simplify right side
    101,983.64x = 7,973,915,733.29
  5. Step 5: Solve for x
    x = 7,973,915,733.29/101,983.64
  6. Step 6: Final answer
    x = 78,188.19

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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.