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Finding the Fourth Proportional to 53,577.71, 80,360.89 and 21,991.10

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Solution

The fourth proportional to 53,577.71, 80,360.89 and 21,991.10 is: 32,984.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,577.71 : 80,360.89 = 21,991.10 : x
  2. Step 2: Convert to fraction form
    53,577.71/80,360.89 = 21,991.10/x
  3. Step 3: Cross multiply
    53,577.71x = 80,360.89 × 21,991.10
  4. Step 4: Simplify right side
    53,577.71x = 1,767,224,487.03
  5. Step 5: Solve for x
    x = 1,767,224,487.03/53,577.71
  6. Step 6: Final answer
    x = 32,984.32

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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.