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Finding the Fourth Proportional to 201,675.90, 302,513.85 and 154,436.70

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Solution

The fourth proportional to 201,675.90, 302,513.85 and 154,436.70 is: 231,655.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,675.90 : 302,513.85 = 154,436.70 : x
  2. Step 2: Convert to fraction form
    201,675.90/302,513.85 = 154,436.70/x
  3. Step 3: Cross multiply
    201,675.90x = 302,513.85 × 154,436.70
  4. Step 4: Simplify right side
    201,675.90x = 46,719,240,698.30
  5. Step 5: Solve for x
    x = 46,719,240,698.30/201,675.90
  6. Step 6: Final answer
    x = 231,655.05

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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.