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Finding the Fourth Proportional to 200,259.64, 276,358.71 and 109,621.40

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Solution

The fourth proportional to 200,259.64, 276,358.71 and 109,621.40 is: 151,277.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,259.64 : 276,358.71 = 109,621.40 : x
  2. Step 2: Convert to fraction form
    200,259.64/276,358.71 = 109,621.40/x
  3. Step 3: Cross multiply
    200,259.64x = 276,358.71 × 109,621.40
  4. Step 4: Simplify right side
    200,259.64x = 30,294,827,721.68
  5. Step 5: Solve for x
    x = 30,294,827,721.68/200,259.64
  6. Step 6: Final answer
    x = 151,277.75

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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.