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Finding the Fourth Proportional to 53,343, 79,999.38 and 22,139.64

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Solution

The fourth proportional to 53,343, 79,999.38 and 22,139.64 is: 33,203.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,343 : 79,999.38 = 22,139.64 : x
  2. Step 2: Convert to fraction form
    53,343/79,999.38 = 22,139.64/x
  3. Step 3: Cross multiply
    53,343x = 79,999.38 × 22,139.64
  4. Step 4: Simplify right side
    53,343x = 1,771,157,473.42
  5. Step 5: Solve for x
    x = 1,771,157,473.42/53,343
  6. Step 6: Final answer
    x = 33,203.18

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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.