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Finding the Fourth Proportional to 201,830.30, 302,308.05 and 166,838.30

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Solution

The fourth proportional to 201,830.30, 302,308.05 and 166,838.30 is: 249,895.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,830.30 : 302,308.05 = 166,838.30 : x
  2. Step 2: Convert to fraction form
    201,830.30/302,308.05 = 166,838.30/x
  3. Step 3: Cross multiply
    201,830.30x = 302,308.05 × 166,838.30
  4. Step 4: Simplify right side
    201,830.30x = 50,436,561,138.32
  5. Step 5: Solve for x
    x = 50,436,561,138.32/201,830.30
  6. Step 6: Final answer
    x = 249,895.88

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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.