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Finding the Fourth Proportional to 150,626.83, 207,867.12 and 82,642.54

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Solution

The fourth proportional to 150,626.83, 207,867.12 and 82,642.54 is: 114,047.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,626.83 : 207,867.12 = 82,642.54 : x
  2. Step 2: Convert to fraction form
    150,626.83/207,867.12 = 82,642.54/x
  3. Step 3: Cross multiply
    150,626.83x = 207,867.12 × 82,642.54
  4. Step 4: Simplify right side
    150,626.83x = 17,178,666,779.28
  5. Step 5: Solve for x
    x = 17,178,666,779.28/150,626.83
  6. Step 6: Final answer
    x = 114,047.85

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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.