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Finding the Fourth Proportional to 150,855, 208,164.24 and 87,213.12

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Solution

The fourth proportional to 150,855, 208,164.24 and 87,213.12 is: 120,345.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,855 : 208,164.24 = 87,213.12 : x
  2. Step 2: Convert to fraction form
    150,855/208,164.24 = 87,213.12/x
  3. Step 3: Cross multiply
    150,855x = 208,164.24 × 87,213.12
  4. Step 4: Simplify right side
    150,855x = 18,154,652,842.83
  5. Step 5: Solve for x
    x = 18,154,652,842.83/150,855
  6. Step 6: Final answer
    x = 120,345.05

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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.