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Finding the Fourth Proportional to 150,001, 207,005.70 and 82,937.32

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Solution

The fourth proportional to 150,001, 207,005.70 and 82,937.32 is: 114,455.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,001 : 207,005.70 = 82,937.32 : x
  2. Step 2: Convert to fraction form
    150,001/207,005.70 = 82,937.32/x
  3. Step 3: Cross multiply
    150,001x = 207,005.70 × 82,937.32
  4. Step 4: Simplify right side
    150,001x = 17,168,497,982.72
  5. Step 5: Solve for x
    x = 17,168,497,982.72/150,001
  6. Step 6: Final answer
    x = 114,455.89

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1.5x scale

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.