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Finding the Fourth Proportional to 203,275.82, 280,541.40 and 117,238.16

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Solution

The fourth proportional to 203,275.82, 280,541.40 and 117,238.16 is: 161,800.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,275.82 : 280,541.40 = 117,238.16 : x
  2. Step 2: Convert to fraction form
    203,275.82/280,541.40 = 117,238.16/x
  3. Step 3: Cross multiply
    203,275.82x = 280,541.40 × 117,238.16
  4. Step 4: Simplify right side
    203,275.82x = 32,890,157,539.82
  5. Step 5: Solve for x
    x = 32,890,157,539.82/203,275.82
  6. Step 6: Final answer
    x = 161,800.64

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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.