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Finding the Fourth Proportional to 90,809, 136,213.50 and 25,145

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Solution

The fourth proportional to 90,809, 136,213.50 and 25,145 is: 37,717.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,809 : 136,213.50 = 25,145 : x
  2. Step 2: Convert to fraction form
    90,809/136,213.50 = 25,145/x
  3. Step 3: Cross multiply
    90,809x = 136,213.50 × 25,145
  4. Step 4: Simplify right side
    90,809x = 3,425,088,457.50
  5. Step 5: Solve for x
    x = 3,425,088,457.50/90,809
  6. Step 6: Final answer
    x = 37,717.50

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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.