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Finding the Fourth Proportional to 86,618, 129,706.68 and 78,630.32

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Solution

The fourth proportional to 86,618, 129,706.68 and 78,630.32 is: 117,745.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,618 : 129,706.68 = 78,630.32 : x
  2. Step 2: Convert to fraction form
    86,618/129,706.68 = 78,630.32/x
  3. Step 3: Cross multiply
    86,618x = 129,706.68 × 78,630.32
  4. Step 4: Simplify right side
    86,618x = 10,198,877,754.54
  5. Step 5: Solve for x
    x = 10,198,877,754.54/86,618
  6. Step 6: Final answer
    x = 117,745.48

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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.