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Finding the Fourth Proportional to 172,942.50, 238,664.30 and 97,491

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Solution

The fourth proportional to 172,942.50, 238,664.30 and 97,491 is: 134,539.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,942.50 : 238,664.30 = 97,491 : x
  2. Step 2: Convert to fraction form
    172,942.50/238,664.30 = 97,491/x
  3. Step 3: Cross multiply
    172,942.50x = 238,664.30 × 97,491
  4. Step 4: Simplify right side
    172,942.50x = 23,267,621,271.30
  5. Step 5: Solve for x
    x = 23,267,621,271.30/172,942.50
  6. Step 6: Final answer
    x = 134,539.64

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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.