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Finding the Fourth Proportional to 242,642.28, 334,847.64 and 140,728.14

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Solution

The fourth proportional to 242,642.28, 334,847.64 and 140,728.14 is: 194,205.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,642.28 : 334,847.64 = 140,728.14 : x
  2. Step 2: Convert to fraction form
    242,642.28/334,847.64 = 140,728.14/x
  3. Step 3: Cross multiply
    242,642.28x = 334,847.64 × 140,728.14
  4. Step 4: Simplify right side
    242,642.28x = 47,122,485,560.59
  5. Step 5: Solve for x
    x = 47,122,485,560.59/242,642.28
  6. Step 6: Final answer
    x = 194,205.58

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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.