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Finding the Fourth Proportional to 78,721.84, 118,043.88 and 34,329.34

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Solution

The fourth proportional to 78,721.84, 118,043.88 and 34,329.34 is: 51,477.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,721.84 : 118,043.88 = 34,329.34 : x
  2. Step 2: Convert to fraction form
    78,721.84/118,043.88 = 34,329.34/x
  3. Step 3: Cross multiply
    78,721.84x = 118,043.88 × 34,329.34
  4. Step 4: Simplify right side
    78,721.84x = 4,052,368,491.44
  5. Step 5: Solve for x
    x = 4,052,368,491.44/78,721.84
  6. Step 6: Final answer
    x = 51,477.06

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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.