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Finding the Fourth Proportional to 145,404.82, 200,643.35 and 80,863.60

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Solution

The fourth proportional to 145,404.82, 200,643.35 and 80,863.60 is: 111,583.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,404.82 : 200,643.35 = 80,863.60 : x
  2. Step 2: Convert to fraction form
    145,404.82/200,643.35 = 80,863.60/x
  3. Step 3: Cross multiply
    145,404.82x = 200,643.35 × 80,863.60
  4. Step 4: Simplify right side
    145,404.82x = 16,224,743,597.06
  5. Step 5: Solve for x
    x = 16,224,743,597.06/145,404.82
  6. Step 6: Final answer
    x = 111,583.26

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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.