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Finding the Fourth Proportional to 152,915.25, 211,023.05 and 85,847.25

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Solution

The fourth proportional to 152,915.25, 211,023.05 and 85,847.25 is: 118,469.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,915.25 : 211,023.05 = 85,847.25 : x
  2. Step 2: Convert to fraction form
    152,915.25/211,023.05 = 85,847.25/x
  3. Step 3: Cross multiply
    152,915.25x = 211,023.05 × 85,847.25
  4. Step 4: Simplify right side
    152,915.25x = 18,115,748,099.88
  5. Step 5: Solve for x
    x = 18,115,748,099.88/152,915.25
  6. Step 6: Final answer
    x = 118,469.21

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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.