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Finding the Fourth Proportional to 45,762, 68,640.72 and 14,593.20

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Solution

The fourth proportional to 45,762, 68,640.72 and 14,593.20 is: 21,889.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,762 : 68,640.72 = 14,593.20 : x
  2. Step 2: Convert to fraction form
    45,762/68,640.72 = 14,593.20/x
  3. Step 3: Cross multiply
    45,762x = 68,640.72 × 14,593.20
  4. Step 4: Simplify right side
    45,762x = 1,001,687,755.10
  5. Step 5: Solve for x
    x = 1,001,687,755.10/45,762
  6. Step 6: Final answer
    x = 21,889.07

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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.