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Finding the Fourth Proportional to 53,301.78, 79,980.46 and 21,735.16

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Solution

The fourth proportional to 53,301.78, 79,980.46 and 21,735.16 is: 32,614.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,301.78 : 79,980.46 = 21,735.16 : x
  2. Step 2: Convert to fraction form
    53,301.78/79,980.46 = 21,735.16/x
  3. Step 3: Cross multiply
    53,301.78x = 79,980.46 × 21,735.16
  4. Step 4: Simplify right side
    53,301.78x = 1,738,387,840.68
  5. Step 5: Solve for x
    x = 1,738,387,840.68/53,301.78
  6. Step 6: Final answer
    x = 32,614.07

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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.