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Finding the Fourth Proportional to 253,612.96, 349,985.86 and 140,435.71

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Solution

The fourth proportional to 253,612.96, 349,985.86 and 140,435.71 is: 193,801.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,612.96 : 349,985.86 = 140,435.71 : x
  2. Step 2: Convert to fraction form
    253,612.96/349,985.86 = 140,435.71/x
  3. Step 3: Cross multiply
    253,612.96x = 349,985.86 × 140,435.71
  4. Step 4: Simplify right side
    253,612.96x = 49,150,512,739.06
  5. Step 5: Solve for x
    x = 49,150,512,739.06/253,612.96
  6. Step 6: Final answer
    x = 193,801.27

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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.