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Finding the Fourth Proportional to 85,784.40, 128,679.30 and 29,627.10

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Solution

The fourth proportional to 85,784.40, 128,679.30 and 29,627.10 is: 44,441.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,784.40 : 128,679.30 = 29,627.10 : x
  2. Step 2: Convert to fraction form
    85,784.40/128,679.30 = 29,627.10/x
  3. Step 3: Cross multiply
    85,784.40x = 128,679.30 × 29,627.10
  4. Step 4: Simplify right side
    85,784.40x = 3,812,394,489.03
  5. Step 5: Solve for x
    x = 3,812,394,489.03/85,784.40
  6. Step 6: Final answer
    x = 44,441.58

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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.