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Finding the Fourth Proportional to 100,809, 151,213.50 and 35,145

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Solution

The fourth proportional to 100,809, 151,213.50 and 35,145 is: 52,717.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,809 : 151,213.50 = 35,145 : x
  2. Step 2: Convert to fraction form
    100,809/151,213.50 = 35,145/x
  3. Step 3: Cross multiply
    100,809x = 151,213.50 × 35,145
  4. Step 4: Simplify right side
    100,809x = 5,314,398,457.50
  5. Step 5: Solve for x
    x = 5,314,398,457.50/100,809
  6. Step 6: Final answer
    x = 52,717.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.