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Finding the Fourth Proportional to 102,776.85, 154,042.56 and 52,880.85

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Solution

The fourth proportional to 102,776.85, 154,042.56 and 52,880.85 is: 79,258.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,776.85 : 154,042.56 = 52,880.85 : x
  2. Step 2: Convert to fraction form
    102,776.85/154,042.56 = 52,880.85/x
  3. Step 3: Cross multiply
    102,776.85x = 154,042.56 × 52,880.85
  4. Step 4: Simplify right side
    102,776.85x = 8,145,901,508.98
  5. Step 5: Solve for x
    x = 8,145,901,508.98/102,776.85
  6. Step 6: Final answer
    x = 79,258.14

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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.