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Finding the Fourth Proportional to 67,890, 101,835.18 and 21,142.92

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Solution

The fourth proportional to 67,890, 101,835.18 and 21,142.92 is: 31,714.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,890 : 101,835.18 = 21,142.92 : x
  2. Step 2: Convert to fraction form
    67,890/101,835.18 = 21,142.92/x
  3. Step 3: Cross multiply
    67,890x = 101,835.18 × 21,142.92
  4. Step 4: Simplify right side
    67,890x = 2,153,093,063.93
  5. Step 5: Solve for x
    x = 2,153,093,063.93/67,890
  6. Step 6: Final answer
    x = 31,714.44

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1.5x scale

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.