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Finding the Fourth Proportional to 149,391, 206,159.58 and 82,323

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Solution

The fourth proportional to 149,391, 206,159.58 and 82,323 is: 113,605.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,391 : 206,159.58 = 82,323 : x
  2. Step 2: Convert to fraction form
    149,391/206,159.58 = 82,323/x
  3. Step 3: Cross multiply
    149,391x = 206,159.58 × 82,323
  4. Step 4: Simplify right side
    149,391x = 16,971,675,104.34
  5. Step 5: Solve for x
    x = 16,971,675,104.34/149,391
  6. Step 6: Final answer
    x = 113,605.74

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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.