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Finding the Fourth Proportional to 201,900.90, 302,851.35 and 138,915.30

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Solution

The fourth proportional to 201,900.90, 302,851.35 and 138,915.30 is: 208,372.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,900.90 : 302,851.35 = 138,915.30 : x
  2. Step 2: Convert to fraction form
    201,900.90/302,851.35 = 138,915.30/x
  3. Step 3: Cross multiply
    201,900.90x = 302,851.35 × 138,915.30
  4. Step 4: Simplify right side
    201,900.90x = 42,070,686,140.66
  5. Step 5: Solve for x
    x = 42,070,686,140.66/201,900.90
  6. Step 6: Final answer
    x = 208,372.95

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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.