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Finding the Fourth Proportional to 268,101.80, 402,206.70 and 78,561.80

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Solution

The fourth proportional to 268,101.80, 402,206.70 and 78,561.80 is: 117,858.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,101.80 : 402,206.70 = 78,561.80 : x
  2. Step 2: Convert to fraction form
    268,101.80/402,206.70 = 78,561.80/x
  3. Step 3: Cross multiply
    268,101.80x = 402,206.70 × 78,561.80
  4. Step 4: Simplify right side
    268,101.80x = 31,598,082,324.06
  5. Step 5: Solve for x
    x = 31,598,082,324.06/268,101.80
  6. Step 6: Final answer
    x = 117,858.52

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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.