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Finding the Fourth Proportional to 268,188.36, 402,331.77 and 127,947

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Solution

The fourth proportional to 268,188.36, 402,331.77 and 127,947 is: 191,943.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,188.36 : 402,331.77 = 127,947 : x
  2. Step 2: Convert to fraction form
    268,188.36/402,331.77 = 127,947/x
  3. Step 3: Cross multiply
    268,188.36x = 402,331.77 × 127,947
  4. Step 4: Simplify right side
    268,188.36x = 51,477,142,976.19
  5. Step 5: Solve for x
    x = 51,477,142,976.19/268,188.36
  6. Step 6: Final answer
    x = 191,943.99

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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.