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Finding the Fourth Proportional to 108,103.11, 149,153.86 and 65,653.44

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Solution

The fourth proportional to 108,103.11, 149,153.86 and 65,653.44 is: 90,584.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,103.11 : 149,153.86 = 65,653.44 : x
  2. Step 2: Convert to fraction form
    108,103.11/149,153.86 = 65,653.44/x
  3. Step 3: Cross multiply
    108,103.11x = 149,153.86 × 65,653.44
  4. Step 4: Simplify right side
    108,103.11x = 9,792,463,151.72
  5. Step 5: Solve for x
    x = 9,792,463,151.72/108,103.11
  6. Step 6: Final answer
    x = 90,584.48

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1.5x scale

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.