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Finding the Fourth Proportional to 135,690.48, 187,175.88 and 85,302

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Solution

The fourth proportional to 135,690.48, 187,175.88 and 85,302 is: 117,668.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,690.48 : 187,175.88 = 85,302 : x
  2. Step 2: Convert to fraction form
    135,690.48/187,175.88 = 85,302/x
  3. Step 3: Cross multiply
    135,690.48x = 187,175.88 × 85,302
  4. Step 4: Simplify right side
    135,690.48x = 15,966,476,915.76
  5. Step 5: Solve for x
    x = 15,966,476,915.76/135,690.48
  6. Step 6: Final answer
    x = 117,668.36

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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.