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Finding the Fourth Proportional to 189,149.60, 283,724.40 and 142,493.60

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Solution

The fourth proportional to 189,149.60, 283,724.40 and 142,493.60 is: 213,740.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,149.60 : 283,724.40 = 142,493.60 : x
  2. Step 2: Convert to fraction form
    189,149.60/283,724.40 = 142,493.60/x
  3. Step 3: Cross multiply
    189,149.60x = 283,724.40 × 142,493.60
  4. Step 4: Simplify right side
    189,149.60x = 40,428,911,163.84
  5. Step 5: Solve for x
    x = 40,428,911,163.84/189,149.60
  6. Step 6: Final answer
    x = 213,740.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.