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Finding the Fourth Proportional to 144,777.96, 217,142.64 and 39,578.40

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Solution

The fourth proportional to 144,777.96, 217,142.64 and 39,578.40 is: 59,360.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,777.96 : 217,142.64 = 39,578.40 : x
  2. Step 2: Convert to fraction form
    144,777.96/217,142.64 = 39,578.40/x
  3. Step 3: Cross multiply
    144,777.96x = 217,142.64 × 39,578.40
  4. Step 4: Simplify right side
    144,777.96x = 8,594,158,262.98
  5. Step 5: Solve for x
    x = 8,594,158,262.98/144,777.96
  6. Step 6: Final answer
    x = 59,360.96

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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.