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Finding the Fourth Proportional to 71,865, 107,843.64 and 48,199.28

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Solution

The fourth proportional to 71,865, 107,843.64 and 48,199.28 is: 72,329.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,865 : 107,843.64 = 48,199.28 : x
  2. Step 2: Convert to fraction form
    71,865/107,843.64 = 48,199.28/x
  3. Step 3: Cross multiply
    71,865x = 107,843.64 × 48,199.28
  4. Step 4: Simplify right side
    71,865x = 5,197,985,261.36
  5. Step 5: Solve for x
    x = 5,197,985,261.36/71,865
  6. Step 6: Final answer
    x = 72,329.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.