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Finding the Fourth Proportional to 145,231.94, 200,419.60 and 80,700.90

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Solution

The fourth proportional to 145,231.94, 200,419.60 and 80,700.90 is: 111,366.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,231.94 : 200,419.60 = 80,700.90 : x
  2. Step 2: Convert to fraction form
    145,231.94/200,419.60 = 80,700.90/x
  3. Step 3: Cross multiply
    145,231.94x = 200,419.60 × 80,700.90
  4. Step 4: Simplify right side
    145,231.94x = 16,174,042,097.64
  5. Step 5: Solve for x
    x = 16,174,042,097.64/145,231.94
  6. Step 6: Final answer
    x = 111,366.98

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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.