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Finding the Fourth Proportional to 203,473, 280,796.13 and 112,832.80

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Solution

The fourth proportional to 203,473, 280,796.13 and 112,832.80 is: 155,711.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,473 : 280,796.13 = 112,832.80 : x
  2. Step 2: Convert to fraction form
    203,473/280,796.13 = 112,832.80/x
  3. Step 3: Cross multiply
    203,473x = 280,796.13 × 112,832.80
  4. Step 4: Simplify right side
    203,473x = 31,683,013,577.06
  5. Step 5: Solve for x
    x = 31,683,013,577.06/203,473
  6. Step 6: Final answer
    x = 155,711.14

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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.