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Finding the Fourth Proportional to 203,464.80, 280,784.80 and 112,824.60

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Solution

The fourth proportional to 203,464.80, 280,784.80 and 112,824.60 is: 155,699.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,464.80 : 280,784.80 = 112,824.60 : x
  2. Step 2: Convert to fraction form
    203,464.80/280,784.80 = 112,824.60/x
  3. Step 3: Cross multiply
    203,464.80x = 280,784.80 × 112,824.60
  4. Step 4: Simplify right side
    203,464.80x = 31,679,432,746.08
  5. Step 5: Solve for x
    x = 31,679,432,746.08/203,464.80
  6. Step 6: Final answer
    x = 155,699.82

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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.