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Finding the Fourth Proportional to 114,976.40, 172,234.20 and 65,670.80

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Solution

The fourth proportional to 114,976.40, 172,234.20 and 65,670.80 is: 98,374.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,976.40 : 172,234.20 = 65,670.80 : x
  2. Step 2: Convert to fraction form
    114,976.40/172,234.20 = 65,670.80/x
  3. Step 3: Cross multiply
    114,976.40x = 172,234.20 × 65,670.80
  4. Step 4: Simplify right side
    114,976.40x = 11,310,757,701.36
  5. Step 5: Solve for x
    x = 11,310,757,701.36/114,976.40
  6. Step 6: Final answer
    x = 98,374.60

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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.