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Finding the Fourth Proportional to 108,310.53, 149,514 and 65,883.81

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Solution

The fourth proportional to 108,310.53, 149,514 and 65,883.81 is: 90,947.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,310.53 : 149,514 = 65,883.81 : x
  2. Step 2: Convert to fraction form
    108,310.53/149,514 = 65,883.81/x
  3. Step 3: Cross multiply
    108,310.53x = 149,514 × 65,883.81
  4. Step 4: Simplify right side
    108,310.53x = 9,850,551,968.34
  5. Step 5: Solve for x
    x = 9,850,551,968.34/108,310.53
  6. Step 6: Final answer
    x = 90,947.32

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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.