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Finding the Fourth Proportional to 102,874.10, 154,311.15 and 85,378.10

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Solution

The fourth proportional to 102,874.10, 154,311.15 and 85,378.10 is: 128,067.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,874.10 : 154,311.15 = 85,378.10 : x
  2. Step 2: Convert to fraction form
    102,874.10/154,311.15 = 85,378.10/x
  3. Step 3: Cross multiply
    102,874.10x = 154,311.15 × 85,378.10
  4. Step 4: Simplify right side
    102,874.10x = 13,174,792,795.82
  5. Step 5: Solve for x
    x = 13,174,792,795.82/102,874.10
  6. Step 6: Final answer
    x = 128,067.15

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1.5x scale

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.