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Finding the Fourth Proportional to 149,148, 205,827.48 and 82,080

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Solution

The fourth proportional to 149,148, 205,827.48 and 82,080 is: 113,272.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,148 : 205,827.48 = 82,080 : x
  2. Step 2: Convert to fraction form
    149,148/205,827.48 = 82,080/x
  3. Step 3: Cross multiply
    149,148x = 205,827.48 × 82,080
  4. Step 4: Simplify right side
    149,148x = 16,894,319,558.40
  5. Step 5: Solve for x
    x = 16,894,319,558.40/149,148
  6. Step 6: Final answer
    x = 113,272.18

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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.