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Finding the Fourth Proportional to 201,891.70, 302,254.35 and 123,159.70

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Solution

The fourth proportional to 201,891.70, 302,254.35 and 123,159.70 is: 184,383.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,891.70 : 302,254.35 = 123,159.70 : x
  2. Step 2: Convert to fraction form
    201,891.70/302,254.35 = 123,159.70/x
  3. Step 3: Cross multiply
    201,891.70x = 302,254.35 × 123,159.70
  4. Step 4: Simplify right side
    201,891.70x = 37,225,555,069.70
  5. Step 5: Solve for x
    x = 37,225,555,069.70/201,891.70
  6. Step 6: Final answer
    x = 184,383.78

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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.