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Finding the Fourth Proportional to 203,088.51, 280,265.11 and 117,000

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Solution

The fourth proportional to 203,088.51, 280,265.11 and 117,000 is: 161,461.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,088.51 : 280,265.11 = 117,000 : x
  2. Step 2: Convert to fraction form
    203,088.51/280,265.11 = 117,000/x
  3. Step 3: Cross multiply
    203,088.51x = 280,265.11 × 117,000
  4. Step 4: Simplify right side
    203,088.51x = 32,791,017,870
  5. Step 5: Solve for x
    x = 32,791,017,870/203,088.51
  6. Step 6: Final answer
    x = 161,461.71

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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.