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Finding the Fourth Proportional to 251,686.64, 347,327.44 and 138,509.39

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Solution

The fourth proportional to 251,686.64, 347,327.44 and 138,509.39 is: 191,142.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,686.64 : 347,327.44 = 138,509.39 : x
  2. Step 2: Convert to fraction form
    251,686.64/347,327.44 = 138,509.39/x
  3. Step 3: Cross multiply
    251,686.64x = 347,327.44 × 138,509.39
  4. Step 4: Simplify right side
    251,686.64x = 48,108,113,145.82
  5. Step 5: Solve for x
    x = 48,108,113,145.82/251,686.64
  6. Step 6: Final answer
    x = 191,142.89

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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.