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Finding the Fourth Proportional to 68,602.24, 102,903.36 and 45,223.21

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Solution

The fourth proportional to 68,602.24, 102,903.36 and 45,223.21 is: 67,834.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,602.24 : 102,903.36 = 45,223.21 : x
  2. Step 2: Convert to fraction form
    68,602.24/102,903.36 = 45,223.21/x
  3. Step 3: Cross multiply
    68,602.24x = 102,903.36 × 45,223.21
  4. Step 4: Simplify right side
    68,602.24x = 4,653,620,218.03
  5. Step 5: Solve for x
    x = 4,653,620,218.03/68,602.24
  6. Step 6: Final answer
    x = 67,834.81

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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.