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Finding the Fourth Proportional to 150,852.08, 208,129 and 87,166.64

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Solution

The fourth proportional to 150,852.08, 208,129 and 87,166.64 is: 120,262.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,852.08 : 208,129 = 87,166.64 : x
  2. Step 2: Convert to fraction form
    150,852.08/208,129 = 87,166.64/x
  3. Step 3: Cross multiply
    150,852.08x = 208,129 × 87,166.64
  4. Step 4: Simplify right side
    150,852.08x = 18,141,905,616.56
  5. Step 5: Solve for x
    x = 18,141,905,616.56/150,852.08
  6. Step 6: Final answer
    x = 120,262.88

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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.