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Finding the Fourth Proportional to 146,205, 201,762.90 and 79,137

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Solution

The fourth proportional to 146,205, 201,762.90 and 79,137 is: 109,209.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,205 : 201,762.90 = 79,137 : x
  2. Step 2: Convert to fraction form
    146,205/201,762.90 = 79,137/x
  3. Step 3: Cross multiply
    146,205x = 201,762.90 × 79,137
  4. Step 4: Simplify right side
    146,205x = 15,966,910,617.30
  5. Step 5: Solve for x
    x = 15,966,910,617.30/146,205
  6. Step 6: Final answer
    x = 109,209.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.