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Finding the Fourth Proportional to 219,144, 328,741.92 and 71,400

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Solution

The fourth proportional to 219,144, 328,741.92 and 71,400 is: 107,108.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,144 : 328,741.92 = 71,400 : x
  2. Step 2: Convert to fraction form
    219,144/328,741.92 = 71,400/x
  3. Step 3: Cross multiply
    219,144x = 328,741.92 × 71,400
  4. Step 4: Simplify right side
    219,144x = 23,472,173,088
  5. Step 5: Solve for x
    x = 23,472,173,088/219,144
  6. Step 6: Final answer
    x = 107,108.45

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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.