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Finding the Fourth Proportional to 200,418.64, 276,567.82 and 109,775

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Solution

The fourth proportional to 200,418.64, 276,567.82 and 109,775 is: 151,484.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,418.64 : 276,567.82 = 109,775 : x
  2. Step 2: Convert to fraction form
    200,418.64/276,567.82 = 109,775/x
  3. Step 3: Cross multiply
    200,418.64x = 276,567.82 × 109,775
  4. Step 4: Simplify right side
    200,418.64x = 30,360,232,440.50
  5. Step 5: Solve for x
    x = 30,360,232,440.50/200,418.64
  6. Step 6: Final answer
    x = 151,484.08

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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.