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Finding the Fourth Proportional to 146,354, 201,970.68 and 79,286

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Solution

The fourth proportional to 146,354, 201,970.68 and 79,286 is: 109,415.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,354 : 201,970.68 = 79,286 : x
  2. Step 2: Convert to fraction form
    146,354/201,970.68 = 79,286/x
  3. Step 3: Cross multiply
    146,354x = 201,970.68 × 79,286
  4. Step 4: Simplify right side
    146,354x = 16,013,447,334.48
  5. Step 5: Solve for x
    x = 16,013,447,334.48/146,354
  6. Step 6: Final answer
    x = 109,415.85

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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.