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Finding the Fourth Proportional to 200,088.64, 300,133.46 and 81,759.98

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Solution

The fourth proportional to 200,088.64, 300,133.46 and 81,759.98 is: 122,640.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,088.64 : 300,133.46 = 81,759.98 : x
  2. Step 2: Convert to fraction form
    200,088.64/300,133.46 = 81,759.98/x
  3. Step 3: Cross multiply
    200,088.64x = 300,133.46 × 81,759.98
  4. Step 4: Simplify right side
    200,088.64x = 24,538,904,390.66
  5. Step 5: Solve for x
    x = 24,538,904,390.66/200,088.64
  6. Step 6: Final answer
    x = 122,640.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.