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Finding the Fourth Proportional to 77,138.22, 106,420.32 and 48,441

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Solution

The fourth proportional to 77,138.22, 106,420.32 and 48,441 is: 66,829.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,138.22 : 106,420.32 = 48,441 : x
  2. Step 2: Convert to fraction form
    77,138.22/106,420.32 = 48,441/x
  3. Step 3: Cross multiply
    77,138.22x = 106,420.32 × 48,441
  4. Step 4: Simplify right side
    77,138.22x = 5,155,106,721.12
  5. Step 5: Solve for x
    x = 5,155,106,721.12/77,138.22
  6. Step 6: Final answer
    x = 66,829.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.