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Finding the Fourth Proportional to 203,368.08, 280,643.22 and 117,327.30

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Solution

The fourth proportional to 203,368.08, 280,643.22 and 117,327.30 is: 161,908.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,368.08 : 280,643.22 = 117,327.30 : x
  2. Step 2: Convert to fraction form
    203,368.08/280,643.22 = 117,327.30/x
  3. Step 3: Cross multiply
    203,368.08x = 280,643.22 × 117,327.30
  4. Step 4: Simplify right side
    203,368.08x = 32,927,111,265.91
  5. Step 5: Solve for x
    x = 32,927,111,265.91/203,368.08
  6. Step 6: Final answer
    x = 161,908.94

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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.