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Finding the Fourth Proportional to 30,156.80, 41,630.64 and 20,102

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Solution

The fourth proportional to 30,156.80, 41,630.64 and 20,102 is: 27,750.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,156.80 : 41,630.64 = 20,102 : x
  2. Step 2: Convert to fraction form
    30,156.80/41,630.64 = 20,102/x
  3. Step 3: Cross multiply
    30,156.80x = 41,630.64 × 20,102
  4. Step 4: Simplify right side
    30,156.80x = 836,859,125.28
  5. Step 5: Solve for x
    x = 836,859,125.28/30,156.80
  6. Step 6: Final answer
    x = 27,750.26

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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.