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Finding the Fourth Proportional to 145,350, 200,599.60 and 80,825.66

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Solution

The fourth proportional to 145,350, 200,599.60 and 80,825.66 is: 111,548.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,350 : 200,599.60 = 80,825.66 : x
  2. Step 2: Convert to fraction form
    145,350/200,599.60 = 80,825.66/x
  3. Step 3: Cross multiply
    145,350x = 200,599.60 × 80,825.66
  4. Step 4: Simplify right side
    145,350x = 16,213,595,065.74
  5. Step 5: Solve for x
    x = 16,213,595,065.74/145,350
  6. Step 6: Final answer
    x = 111,548.64

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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.