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Finding the Fourth Proportional to 108,415.80, 162,393.30 and 89,983.80

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Solution

The fourth proportional to 108,415.80, 162,393.30 and 89,983.80 is: 134,784.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,415.80 : 162,393.30 = 89,983.80 : x
  2. Step 2: Convert to fraction form
    108,415.80/162,393.30 = 89,983.80/x
  3. Step 3: Cross multiply
    108,415.80x = 162,393.30 × 89,983.80
  4. Step 4: Simplify right side
    108,415.80x = 14,612,766,228.54
  5. Step 5: Solve for x
    x = 14,612,766,228.54/108,415.80
  6. Step 6: Final answer
    x = 134,784.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.