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Finding the Fourth Proportional to 119,287.50, 164,616.75 and 68,989.74

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Solution

The fourth proportional to 119,287.50, 164,616.75 and 68,989.74 is: 95,205.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,287.50 : 164,616.75 = 68,989.74 : x
  2. Step 2: Convert to fraction form
    119,287.50/164,616.75 = 68,989.74/x
  3. Step 3: Cross multiply
    119,287.50x = 164,616.75 × 68,989.74
  4. Step 4: Simplify right side
    119,287.50x = 11,356,866,782.15
  5. Step 5: Solve for x
    x = 11,356,866,782.15/119,287.50
  6. Step 6: Final answer
    x = 95,205.84

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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.