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Finding the Fourth Proportional to 120,136.48, 165,687.76 and 89,992.64

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Solution

The fourth proportional to 120,136.48, 165,687.76 and 89,992.64 is: 124,114.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,136.48 : 165,687.76 = 89,992.64 : x
  2. Step 2: Convert to fraction form
    120,136.48/165,687.76 = 89,992.64/x
  3. Step 3: Cross multiply
    120,136.48x = 165,687.76 × 89,992.64
  4. Step 4: Simplify right side
    120,136.48x = 14,910,678,938.09
  5. Step 5: Solve for x
    x = 14,910,678,938.09/120,136.48
  6. Step 6: Final answer
    x = 124,114.50

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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.