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Finding the Fourth Proportional to 109,918.80, 164,878.20 and 94,885.20

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Solution

The fourth proportional to 109,918.80, 164,878.20 and 94,885.20 is: 142,327.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,918.80 : 164,878.20 = 94,885.20 : x
  2. Step 2: Convert to fraction form
    109,918.80/164,878.20 = 94,885.20/x
  3. Step 3: Cross multiply
    109,918.80x = 164,878.20 × 94,885.20
  4. Step 4: Simplify right side
    109,918.80x = 15,644,500,982.64
  5. Step 5: Solve for x
    x = 15,644,500,982.64/109,918.80
  6. Step 6: Final answer
    x = 142,327.80

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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.