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Finding the Fourth Proportional to 71,521.80, 107,353.32 and 53,690.46

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Solution

The fourth proportional to 71,521.80, 107,353.32 and 53,690.46 is: 80,588.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,521.80 : 107,353.32 = 53,690.46 : x
  2. Step 2: Convert to fraction form
    71,521.80/107,353.32 = 53,690.46/x
  3. Step 3: Cross multiply
    71,521.80x = 107,353.32 × 53,690.46
  4. Step 4: Simplify right side
    71,521.80x = 5,763,848,529.41
  5. Step 5: Solve for x
    x = 5,763,848,529.41/71,521.80
  6. Step 6: Final answer
    x = 80,588.70

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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.