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Finding the Fourth Proportional to 45,644.20, 68,312.70 and 31,820.20

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Solution

The fourth proportional to 45,644.20, 68,312.70 and 31,820.20 is: 47,623.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,644.20 : 68,312.70 = 31,820.20 : x
  2. Step 2: Convert to fraction form
    45,644.20/68,312.70 = 31,820.20/x
  3. Step 3: Cross multiply
    45,644.20x = 68,312.70 × 31,820.20
  4. Step 4: Simplify right side
    45,644.20x = 2,173,723,776.54
  5. Step 5: Solve for x
    x = 2,173,723,776.54/45,644.20
  6. Step 6: Final answer
    x = 47,623.22

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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.