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Finding the Fourth Proportional to 78,546.45, 109,731.75 and 78,546.45

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Solution

The fourth proportional to 78,546.45, 109,731.75 and 78,546.45 is: 109,731.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,546.45 : 109,731.75 = 78,546.45 : x
  2. Step 2: Convert to fraction form
    78,546.45/109,731.75 = 78,546.45/x
  3. Step 3: Cross multiply
    78,546.45x = 109,731.75 × 78,546.45
  4. Step 4: Simplify right side
    78,546.45x = 8,619,039,414.79
  5. Step 5: Solve for x
    x = 8,619,039,414.79/78,546.45
  6. Step 6: Final answer
    x = 109,731.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.