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Finding the Fourth Proportional to 122,109.44, 168,502.88 and 67,658

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Solution

The fourth proportional to 122,109.44, 168,502.88 and 67,658 is: 93,363.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,109.44 : 168,502.88 = 67,658 : x
  2. Step 2: Convert to fraction form
    122,109.44/168,502.88 = 67,658/x
  3. Step 3: Cross multiply
    122,109.44x = 168,502.88 × 67,658
  4. Step 4: Simplify right side
    122,109.44x = 11,400,567,855.04
  5. Step 5: Solve for x
    x = 11,400,567,855.04/122,109.44
  6. Step 6: Final answer
    x = 93,363.53

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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.