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Finding the Fourth Proportional to 149,152.09, 205,829.88 and 82,084.09

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Solution

The fourth proportional to 149,152.09, 205,829.88 and 82,084.09 is: 113,276.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,152.09 : 205,829.88 = 82,084.09 : x
  2. Step 2: Convert to fraction form
    149,152.09/205,829.88 = 82,084.09/x
  3. Step 3: Cross multiply
    149,152.09x = 205,829.88 × 82,084.09
  4. Step 4: Simplify right side
    149,152.09x = 16,895,358,394.61
  5. Step 5: Solve for x
    x = 16,895,358,394.61/149,152.09
  6. Step 6: Final answer
    x = 113,276.04

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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.