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Finding the Fourth Proportional to 118,893.30, 164,045.80 and 80,658.06

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Solution

The fourth proportional to 118,893.30, 164,045.80 and 80,658.06 is: 111,289.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,893.30 : 164,045.80 = 80,658.06 : x
  2. Step 2: Convert to fraction form
    118,893.30/164,045.80 = 80,658.06/x
  3. Step 3: Cross multiply
    118,893.30x = 164,045.80 × 80,658.06
  4. Step 4: Simplify right side
    118,893.30x = 13,231,615,979.15
  5. Step 5: Solve for x
    x = 13,231,615,979.15/118,893.30
  6. Step 6: Final answer
    x = 111,289.84

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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.