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Finding the Fourth Proportional to 268,245.80, 402,422.70 and 78,705.80

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Solution

The fourth proportional to 268,245.80, 402,422.70 and 78,705.80 is: 118,074.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,245.80 : 402,422.70 = 78,705.80 : x
  2. Step 2: Convert to fraction form
    268,245.80/402,422.70 = 78,705.80/x
  3. Step 3: Cross multiply
    268,245.80x = 402,422.70 × 78,705.80
  4. Step 4: Simplify right side
    268,245.80x = 31,673,000,541.66
  5. Step 5: Solve for x
    x = 31,673,000,541.66/268,245.80
  6. Step 6: Final answer
    x = 118,074.54

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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.