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Finding the Fourth Proportional to 252,034.51, 347,807.43 and 138,857.26

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Solution

The fourth proportional to 252,034.51, 347,807.43 and 138,857.26 is: 191,622.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,034.51 : 347,807.43 = 138,857.26 : x
  2. Step 2: Convert to fraction form
    252,034.51/347,807.43 = 138,857.26/x
  3. Step 3: Cross multiply
    252,034.51x = 347,807.43 × 138,857.26
  4. Step 4: Simplify right side
    252,034.51x = 48,295,586,737.44
  5. Step 5: Solve for x
    x = 48,295,586,737.44/252,034.51
  6. Step 6: Final answer
    x = 191,622.91

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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.