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Finding the Fourth Proportional to 102,756.65, 154,138.14 and 27,876.50

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Solution

The fourth proportional to 102,756.65, 154,138.14 and 27,876.50 is: 41,815.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,756.65 : 154,138.14 = 27,876.50 : x
  2. Step 2: Convert to fraction form
    102,756.65/154,138.14 = 27,876.50/x
  3. Step 3: Cross multiply
    102,756.65x = 154,138.14 × 27,876.50
  4. Step 4: Simplify right side
    102,756.65x = 4,296,831,859.71
  5. Step 5: Solve for x
    x = 4,296,831,859.71/102,756.65
  6. Step 6: Final answer
    x = 41,815.61

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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.