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Finding the Fourth Proportional to 77,156.32, 115,672.19 and 70,928.49

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Solution

The fourth proportional to 77,156.32, 115,672.19 and 70,928.49 is: 106,335.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,156.32 : 115,672.19 = 70,928.49 : x
  2. Step 2: Convert to fraction form
    77,156.32/115,672.19 = 70,928.49/x
  3. Step 3: Cross multiply
    77,156.32x = 115,672.19 × 70,928.49
  4. Step 4: Simplify right side
    77,156.32x = 8,204,453,771.69
  5. Step 5: Solve for x
    x = 8,204,453,771.69/77,156.32
  6. Step 6: Final answer
    x = 106,335.48

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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.