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Finding the Fourth Proportional to 109,411.36, 150,978.63 and 61,676.44

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Solution

The fourth proportional to 109,411.36, 150,978.63 and 61,676.44 is: 85,108.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,411.36 : 150,978.63 = 61,676.44 : x
  2. Step 2: Convert to fraction form
    109,411.36/150,978.63 = 61,676.44/x
  3. Step 3: Cross multiply
    109,411.36x = 150,978.63 × 61,676.44
  4. Step 4: Simplify right side
    109,411.36x = 9,311,824,268.32
  5. Step 5: Solve for x
    x = 9,311,824,268.32/109,411.36
  6. Step 6: Final answer
    x = 85,108.39

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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.