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Finding the Fourth Proportional to 78,751.46, 117,995.69 and 55,335.98

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Solution

The fourth proportional to 78,751.46, 117,995.69 and 55,335.98 is: 82,911.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,751.46 : 117,995.69 = 55,335.98 : x
  2. Step 2: Convert to fraction form
    78,751.46/117,995.69 = 55,335.98/x
  3. Step 3: Cross multiply
    78,751.46x = 117,995.69 × 55,335.98
  4. Step 4: Simplify right side
    78,751.46x = 6,529,407,141.93
  5. Step 5: Solve for x
    x = 6,529,407,141.93/78,751.46
  6. Step 6: Final answer
    x = 82,911.57

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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.