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Finding the Fourth Proportional to 144,165, 198,946.91 and 79,638.68

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Solution

The fourth proportional to 144,165, 198,946.91 and 79,638.68 is: 109,900.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,165 : 198,946.91 = 79,638.68 : x
  2. Step 2: Convert to fraction form
    144,165/198,946.91 = 79,638.68/x
  3. Step 3: Cross multiply
    144,165x = 198,946.91 × 79,638.68
  4. Step 4: Simplify right side
    144,165x = 15,843,869,302.48
  5. Step 5: Solve for x
    x = 15,843,869,302.48/144,165
  6. Step 6: Final answer
    x = 109,900.94

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1.5x scale

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.