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Finding the Fourth Proportional to 104,978.35, 157,435.22 and 30,078.42

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Solution

The fourth proportional to 104,978.35, 157,435.22 and 30,078.42 is: 45,108.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,978.35 : 157,435.22 = 30,078.42 : x
  2. Step 2: Convert to fraction form
    104,978.35/157,435.22 = 30,078.42/x
  3. Step 3: Cross multiply
    104,978.35x = 157,435.22 × 30,078.42
  4. Step 4: Simplify right side
    104,978.35x = 4,735,403,335.53
  5. Step 5: Solve for x
    x = 4,735,403,335.53/104,978.35
  6. Step 6: Final answer
    x = 45,108.38

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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.