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Finding the Fourth Proportional to 202,284.47, 278,994.80 and 129,694.30

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Solution

The fourth proportional to 202,284.47, 278,994.80 and 129,694.30 is: 178,876.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,284.47 : 278,994.80 = 129,694.30 : x
  2. Step 2: Convert to fraction form
    202,284.47/278,994.80 = 129,694.30/x
  3. Step 3: Cross multiply
    202,284.47x = 278,994.80 × 129,694.30
  4. Step 4: Simplify right side
    202,284.47x = 36,184,034,916.39
  5. Step 5: Solve for x
    x = 36,184,034,916.39/202,284.47
  6. Step 6: Final answer
    x = 178,876.98

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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.