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Finding the Fourth Proportional to 106,399.80, 159,630.93 and 31,521.90

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Solution

The fourth proportional to 106,399.80, 159,630.93 and 31,521.90 is: 47,292.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,399.80 : 159,630.93 = 31,521.90 : x
  2. Step 2: Convert to fraction form
    106,399.80/159,630.93 = 31,521.90/x
  3. Step 3: Cross multiply
    106,399.80x = 159,630.93 × 31,521.90
  4. Step 4: Simplify right side
    106,399.80x = 5,031,870,212.37
  5. Step 5: Solve for x
    x = 5,031,870,212.37/106,399.80
  6. Step 6: Final answer
    x = 47,292.10

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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.