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Finding the Fourth Proportional to 68,536.17, 102,813.90 and 21,155.13

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Solution

The fourth proportional to 68,536.17, 102,813.90 and 21,155.13 is: 31,735.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,536.17 : 102,813.90 = 21,155.13 : x
  2. Step 2: Convert to fraction form
    68,536.17/102,813.90 = 21,155.13/x
  3. Step 3: Cross multiply
    68,536.17x = 102,813.90 × 21,155.13
  4. Step 4: Simplify right side
    68,536.17x = 2,175,041,420.31
  5. Step 5: Solve for x
    x = 2,175,041,420.31/68,536.17
  6. Step 6: Final answer
    x = 31,735.67

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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.