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Finding the Fourth Proportional to 149,376, 206,143.20 and 82,312.32

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Solution

The fourth proportional to 149,376, 206,143.20 and 82,312.32 is: 113,593.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,376 : 206,143.20 = 82,312.32 : x
  2. Step 2: Convert to fraction form
    149,376/206,143.20 = 82,312.32/x
  3. Step 3: Cross multiply
    149,376x = 206,143.20 × 82,312.32
  4. Step 4: Simplify right side
    149,376x = 16,968,125,044.22
  5. Step 5: Solve for x
    x = 16,968,125,044.22/149,376
  6. Step 6: Final answer
    x = 113,593.38

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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.