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Finding the Fourth Proportional to 228,179.22, 342,277.33 and 78,522.81

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Solution

The fourth proportional to 228,179.22, 342,277.33 and 78,522.81 is: 117,787.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,179.22 : 342,277.33 = 78,522.81 : x
  2. Step 2: Convert to fraction form
    228,179.22/342,277.33 = 78,522.81/x
  3. Step 3: Cross multiply
    228,179.22x = 342,277.33 × 78,522.81
  4. Step 4: Simplify right side
    228,179.22x = 26,876,577,750.90
  5. Step 5: Solve for x
    x = 26,876,577,750.90/228,179.22
  6. Step 6: Final answer
    x = 117,787.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.