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Finding the Fourth Proportional to 108,000, 149,024.16 and 60,249.60

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Solution

The fourth proportional to 108,000, 149,024.16 and 60,249.60 is: 83,135.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,000 : 149,024.16 = 60,249.60 : x
  2. Step 2: Convert to fraction form
    108,000/149,024.16 = 60,249.60/x
  3. Step 3: Cross multiply
    108,000x = 149,024.16 × 60,249.60
  4. Step 4: Simplify right side
    108,000x = 8,978,646,030.34
  5. Step 5: Solve for x
    x = 8,978,646,030.34/108,000
  6. Step 6: Final answer
    x = 83,135.61

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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.