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Finding the Fourth Proportional to 108,838.41, 150,228.39 and 65,818

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Solution

The fourth proportional to 108,838.41, 150,228.39 and 65,818 is: 90,847.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,838.41 : 150,228.39 = 65,818 : x
  2. Step 2: Convert to fraction form
    108,838.41/150,228.39 = 65,818/x
  3. Step 3: Cross multiply
    108,838.41x = 150,228.39 × 65,818
  4. Step 4: Simplify right side
    108,838.41x = 9,887,732,173.02
  5. Step 5: Solve for x
    x = 9,887,732,173.02/108,838.41
  6. Step 6: Final answer
    x = 90,847.82

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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.