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Finding the Fourth Proportional to 203,605.47, 280,988.82 and 117,568.08

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Solution

The fourth proportional to 203,605.47, 280,988.82 and 117,568.08 is: 162,251.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,605.47 : 280,988.82 = 117,568.08 : x
  2. Step 2: Convert to fraction form
    203,605.47/280,988.82 = 117,568.08/x
  3. Step 3: Cross multiply
    203,605.47x = 280,988.82 × 117,568.08
  4. Step 4: Simplify right side
    203,605.47x = 33,035,316,068.87
  5. Step 5: Solve for x
    x = 33,035,316,068.87/203,605.47
  6. Step 6: Final answer
    x = 162,251.61

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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.