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Finding the Fourth Proportional to 101,885.20, 152,843.16 and 31,770

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Solution

The fourth proportional to 101,885.20, 152,843.16 and 31,770 is: 47,659.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,885.20 : 152,843.16 = 31,770 : x
  2. Step 2: Convert to fraction form
    101,885.20/152,843.16 = 31,770/x
  3. Step 3: Cross multiply
    101,885.20x = 152,843.16 × 31,770
  4. Step 4: Simplify right side
    101,885.20x = 4,855,827,193.20
  5. Step 5: Solve for x
    x = 4,855,827,193.20/101,885.20
  6. Step 6: Final answer
    x = 47,659.79

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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.