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Finding the Fourth Proportional to 268,103.80, 402,209.70 and 78,563.80

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Solution

The fourth proportional to 268,103.80, 402,209.70 and 78,563.80 is: 117,861.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,103.80 : 402,209.70 = 78,563.80 : x
  2. Step 2: Convert to fraction form
    268,103.80/402,209.70 = 78,563.80/x
  3. Step 3: Cross multiply
    268,103.80x = 402,209.70 × 78,563.80
  4. Step 4: Simplify right side
    268,103.80x = 31,599,122,428.86
  5. Step 5: Solve for x
    x = 31,599,122,428.86/268,103.80
  6. Step 6: Final answer
    x = 117,861.52

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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.