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Finding the Fourth Proportional to 146,300, 201,894 and 79,232

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Solution

The fourth proportional to 146,300, 201,894 and 79,232 is: 109,340.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,300 : 201,894 = 79,232 : x
  2. Step 2: Convert to fraction form
    146,300/201,894 = 79,232/x
  3. Step 3: Cross multiply
    146,300x = 201,894 × 79,232
  4. Step 4: Simplify right side
    146,300x = 15,996,465,408
  5. Step 5: Solve for x
    x = 15,996,465,408/146,300
  6. Step 6: Final answer
    x = 109,340.16

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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.