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Finding the Fourth Proportional to 149,476, 206,276.88 and 82,412.32

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Solution

The fourth proportional to 149,476, 206,276.88 and 82,412.32 is: 113,729.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,476 : 206,276.88 = 82,412.32 : x
  2. Step 2: Convert to fraction form
    149,476/206,276.88 = 82,412.32/x
  3. Step 3: Cross multiply
    149,476x = 206,276.88 × 82,412.32
  4. Step 4: Simplify right side
    149,476x = 16,999,756,243.16
  5. Step 5: Solve for x
    x = 16,999,756,243.16/149,476
  6. Step 6: Final answer
    x = 113,729.00

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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.