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Finding the Fourth Proportional to 200,292.75, 276,404.60 and 109,649.50

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Solution

The fourth proportional to 200,292.75, 276,404.60 and 109,649.50 is: 151,316.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,292.75 : 276,404.60 = 109,649.50 : x
  2. Step 2: Convert to fraction form
    200,292.75/276,404.60 = 109,649.50/x
  3. Step 3: Cross multiply
    200,292.75x = 276,404.60 × 109,649.50
  4. Step 4: Simplify right side
    200,292.75x = 30,307,625,770.81
  5. Step 5: Solve for x
    x = 30,307,625,770.81/200,292.75
  6. Step 6: Final answer
    x = 151,316.64

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1.5x scale

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.