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Finding the Fourth Proportional to 203,463.30, 280,782.72 and 112,823.09

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Solution

The fourth proportional to 203,463.30, 280,782.72 and 112,823.09 is: 155,697.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,463.30 : 280,782.72 = 112,823.09 : x
  2. Step 2: Convert to fraction form
    203,463.30/280,782.72 = 112,823.09/x
  3. Step 3: Cross multiply
    203,463.30x = 280,782.72 × 112,823.09
  4. Step 4: Simplify right side
    203,463.30x = 31,678,772,685.09
  5. Step 5: Solve for x
    x = 31,678,772,685.09/203,463.30
  6. Step 6: Final answer
    x = 155,697.72

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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.