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Finding the Fourth Proportional to 222,075.71, 306,463.60 and 120,101.30

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Solution

The fourth proportional to 222,075.71, 306,463.60 and 120,101.30 is: 165,739.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,075.71 : 306,463.60 = 120,101.30 : x
  2. Step 2: Convert to fraction form
    222,075.71/306,463.60 = 120,101.30/x
  3. Step 3: Cross multiply
    222,075.71x = 306,463.60 × 120,101.30
  4. Step 4: Simplify right side
    222,075.71x = 36,806,676,529.73
  5. Step 5: Solve for x
    x = 36,806,676,529.73/222,075.71
  6. Step 6: Final answer
    x = 165,739.32

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1.5x scale

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.