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Finding the Fourth Proportional to 252,154.26, 347,967.90 and 138,977.01

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Solution

The fourth proportional to 252,154.26, 347,967.90 and 138,977.01 is: 191,785.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,154.26 : 347,967.90 = 138,977.01 : x
  2. Step 2: Convert to fraction form
    252,154.26/347,967.90 = 138,977.01/x
  3. Step 3: Cross multiply
    252,154.26x = 347,967.90 × 138,977.01
  4. Step 4: Simplify right side
    252,154.26x = 48,359,538,317.98
  5. Step 5: Solve for x
    x = 48,359,538,317.98/252,154.26
  6. Step 6: Final answer
    x = 191,785.53

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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.