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Finding the Fourth Proportional to 146,351, 201,966.54 and 79,283

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Solution

The fourth proportional to 146,351, 201,966.54 and 79,283 is: 109,411.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,351 : 201,966.54 = 79,283 : x
  2. Step 2: Convert to fraction form
    146,351/201,966.54 = 79,283/x
  3. Step 3: Cross multiply
    146,351x = 201,966.54 × 79,283
  4. Step 4: Simplify right side
    146,351x = 16,012,513,190.82
  5. Step 5: Solve for x
    x = 16,012,513,190.82/146,351
  6. Step 6: Final answer
    x = 109,411.71

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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.