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Finding the Fourth Proportional to 149,647.75, 224,471.32 and 87,274.51

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Solution

The fourth proportional to 149,647.75, 224,471.32 and 87,274.51 is: 130,911.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,647.75 : 224,471.32 = 87,274.51 : x
  2. Step 2: Convert to fraction form
    149,647.75/224,471.32 = 87,274.51/x
  3. Step 3: Cross multiply
    149,647.75x = 224,471.32 × 87,274.51
  4. Step 4: Simplify right side
    149,647.75x = 19,590,624,462.05
  5. Step 5: Solve for x
    x = 19,590,624,462.05/149,647.75
  6. Step 6: Final answer
    x = 130,911.59

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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.