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Finding the Fourth Proportional to 78,768.56, 118,118.28 and 29,486

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Solution

The fourth proportional to 78,768.56, 118,118.28 and 29,486 is: 44,216.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,768.56 : 118,118.28 = 29,486 : x
  2. Step 2: Convert to fraction form
    78,768.56/118,118.28 = 29,486/x
  3. Step 3: Cross multiply
    78,768.56x = 118,118.28 × 29,486
  4. Step 4: Simplify right side
    78,768.56x = 3,482,835,604.08
  5. Step 5: Solve for x
    x = 3,482,835,604.08/78,768.56
  6. Step 6: Final answer
    x = 44,216.06

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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.