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Finding the Fourth Proportional to 92,785.50, 139,179.06 and 30,456

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Solution

The fourth proportional to 92,785.50, 139,179.06 and 30,456 is: 45,684.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,785.50 : 139,179.06 = 30,456 : x
  2. Step 2: Convert to fraction form
    92,785.50/139,179.06 = 30,456/x
  3. Step 3: Cross multiply
    92,785.50x = 139,179.06 × 30,456
  4. Step 4: Simplify right side
    92,785.50x = 4,238,837,451.36
  5. Step 5: Solve for x
    x = 4,238,837,451.36/92,785.50
  6. Step 6: Final answer
    x = 45,684.27

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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.