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Finding the Fourth Proportional to 222,075.81, 306,465.12 and 126,580.05

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Solution

The fourth proportional to 222,075.81, 306,465.12 and 126,580.05 is: 174,680.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,075.81 : 306,465.12 = 126,580.05 : x
  2. Step 2: Convert to fraction form
    222,075.81/306,465.12 = 126,580.05/x
  3. Step 3: Cross multiply
    222,075.81x = 306,465.12 × 126,580.05
  4. Step 4: Simplify right side
    222,075.81x = 38,792,370,212.86
  5. Step 5: Solve for x
    x = 38,792,370,212.86/222,075.81
  6. Step 6: Final answer
    x = 174,680.76

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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.