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Finding the Fourth Proportional to 150,669, 207,929.70 and 83,601

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Solution

The fourth proportional to 150,669, 207,929.70 and 83,601 is: 115,372.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,669 : 207,929.70 = 83,601 : x
  2. Step 2: Convert to fraction form
    150,669/207,929.70 = 83,601/x
  3. Step 3: Cross multiply
    150,669x = 207,929.70 × 83,601
  4. Step 4: Simplify right side
    150,669x = 17,383,130,849.70
  5. Step 5: Solve for x
    x = 17,383,130,849.70/150,669
  6. Step 6: Final answer
    x = 115,372.98

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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.