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Finding the Fourth Proportional to 200,515.80, 276,710.94 and 109,871.40

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Solution

The fourth proportional to 200,515.80, 276,710.94 and 109,871.40 is: 151,622.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,515.80 : 276,710.94 = 109,871.40 : x
  2. Step 2: Convert to fraction form
    200,515.80/276,710.94 = 109,871.40/x
  3. Step 3: Cross multiply
    200,515.80x = 276,710.94 × 109,871.40
  4. Step 4: Simplify right side
    200,515.80x = 30,402,618,373.12
  5. Step 5: Solve for x
    x = 30,402,618,373.12/200,515.80
  6. Step 6: Final answer
    x = 151,622.06

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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.