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Finding the Fourth Proportional to 78,777.84, 118,105.32 and 39,315.12

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Solution

The fourth proportional to 78,777.84, 118,105.32 and 39,315.12 is: 58,942.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,777.84 : 118,105.32 = 39,315.12 : x
  2. Step 2: Convert to fraction form
    78,777.84/118,105.32 = 39,315.12/x
  3. Step 3: Cross multiply
    78,777.84x = 118,105.32 × 39,315.12
  4. Step 4: Simplify right side
    78,777.84x = 4,643,324,828.44
  5. Step 5: Solve for x
    x = 4,643,324,828.44/78,777.84
  6. Step 6: Final answer
    x = 58,942.02

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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.