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Finding the Fourth Proportional to 252,067.66, 347,851.20 and 138,889.60

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Solution

The fourth proportional to 252,067.66, 347,851.20 and 138,889.60 is: 191,666.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,067.66 : 347,851.20 = 138,889.60 : x
  2. Step 2: Convert to fraction form
    252,067.66/347,851.20 = 138,889.60/x
  3. Step 3: Cross multiply
    252,067.66x = 347,851.20 × 138,889.60
  4. Step 4: Simplify right side
    252,067.66x = 48,312,914,027.52
  5. Step 5: Solve for x
    x = 48,312,914,027.52/252,067.66
  6. Step 6: Final answer
    x = 191,666.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.