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Finding the Fourth Proportional to 150,771.15, 208,064.47 and 87,109

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Solution

The fourth proportional to 150,771.15, 208,064.47 and 87,109 is: 120,210.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,771.15 : 208,064.47 = 87,109 : x
  2. Step 2: Convert to fraction form
    150,771.15/208,064.47 = 87,109/x
  3. Step 3: Cross multiply
    150,771.15x = 208,064.47 × 87,109
  4. Step 4: Simplify right side
    150,771.15x = 18,124,287,917.23
  5. Step 5: Solve for x
    x = 18,124,287,917.23/150,771.15
  6. Step 6: Final answer
    x = 120,210.58

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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.