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Finding the Fourth Proportional to 209,959.37, 314,752.57 and 81,846.12

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Solution

The fourth proportional to 209,959.37, 314,752.57 and 81,846.12 is: 122,696.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,959.37 : 314,752.57 = 81,846.12 : x
  2. Step 2: Convert to fraction form
    209,959.37/314,752.57 = 81,846.12/x
  3. Step 3: Cross multiply
    209,959.37x = 314,752.57 × 81,846.12
  4. Step 4: Simplify right side
    209,959.37x = 25,761,276,409.91
  5. Step 5: Solve for x
    x = 25,761,276,409.91/209,959.37
  6. Step 6: Final answer
    x = 122,696.49

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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.