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Finding the Fourth Proportional to 145,425.11, 200,689.16 and 80,899.50

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Solution

The fourth proportional to 145,425.11, 200,689.16 and 80,899.50 is: 111,642.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,425.11 : 200,689.16 = 80,899.50 : x
  2. Step 2: Convert to fraction form
    145,425.11/200,689.16 = 80,899.50/x
  3. Step 3: Cross multiply
    145,425.11x = 200,689.16 × 80,899.50
  4. Step 4: Simplify right side
    145,425.11x = 16,235,652,699.42
  5. Step 5: Solve for x
    x = 16,235,652,699.42/145,425.11
  6. Step 6: Final answer
    x = 111,642.71

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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.