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Finding the Fourth Proportional to 203,603.21, 280,985.72 and 117,565.82

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Solution

The fourth proportional to 203,603.21, 280,985.72 and 117,565.82 is: 162,248.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,603.21 : 280,985.72 = 117,565.82 : x
  2. Step 2: Convert to fraction form
    203,603.21/280,985.72 = 117,565.82/x
  3. Step 3: Cross multiply
    203,603.21x = 280,985.72 × 117,565.82
  4. Step 4: Simplify right side
    203,603.21x = 33,034,317,576.47
  5. Step 5: Solve for x
    x = 33,034,317,576.47/203,603.21
  6. Step 6: Final answer
    x = 162,248.51

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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.