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Finding the Fourth Proportional to 150,152.64, 207,207.40 and 82,169.32

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Solution

The fourth proportional to 150,152.64, 207,207.40 and 82,169.32 is: 113,391.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,152.64 : 207,207.40 = 82,169.32 : x
  2. Step 2: Convert to fraction form
    150,152.64/207,207.40 = 82,169.32/x
  3. Step 3: Cross multiply
    150,152.64x = 207,207.40 × 82,169.32
  4. Step 4: Simplify right side
    150,152.64x = 17,026,091,156.97
  5. Step 5: Solve for x
    x = 17,026,091,156.97/150,152.64
  6. Step 6: Final answer
    x = 113,391.89

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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.