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Finding the Fourth Proportional to 106,502, 159,739.12 and 31,620.64

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Solution

The fourth proportional to 106,502, 159,739.12 and 31,620.64 is: 47,426.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,502 : 159,739.12 = 31,620.64 : x
  2. Step 2: Convert to fraction form
    106,502/159,739.12 = 31,620.64/x
  3. Step 3: Cross multiply
    106,502x = 159,739.12 × 31,620.64
  4. Step 4: Simplify right side
    106,502x = 5,051,053,207.44
  5. Step 5: Solve for x
    x = 5,051,053,207.44/106,502
  6. Step 6: Final answer
    x = 47,426.84

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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.