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Finding the Fourth Proportional to 252,909.68, 349,022.44 and 139,739.76

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Solution

The fourth proportional to 252,909.68, 349,022.44 and 139,739.76 is: 192,844.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,909.68 : 349,022.44 = 139,739.76 : x
  2. Step 2: Convert to fraction form
    252,909.68/349,022.44 = 139,739.76/x
  3. Step 3: Cross multiply
    252,909.68x = 349,022.44 × 139,739.76
  4. Step 4: Simplify right side
    252,909.68x = 48,772,312,000.21
  5. Step 5: Solve for x
    x = 48,772,312,000.21/252,909.68
  6. Step 6: Final answer
    x = 192,844.78

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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.