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Finding the Fourth Proportional to 102,709.70, 154,064.55 and 36,149.30

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Solution

The fourth proportional to 102,709.70, 154,064.55 and 36,149.30 is: 54,223.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,709.70 : 154,064.55 = 36,149.30 : x
  2. Step 2: Convert to fraction form
    102,709.70/154,064.55 = 36,149.30/x
  3. Step 3: Cross multiply
    102,709.70x = 154,064.55 × 36,149.30
  4. Step 4: Simplify right side
    102,709.70x = 5,569,325,637.32
  5. Step 5: Solve for x
    x = 5,569,325,637.32/102,709.70
  6. Step 6: Final answer
    x = 54,223.95

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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.