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Finding the Fourth Proportional to 102,997.38, 154,457.19 and 47,554.50

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Solution

The fourth proportional to 102,997.38, 154,457.19 and 47,554.50 is: 71,313.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,997.38 : 154,457.19 = 47,554.50 : x
  2. Step 2: Convert to fraction form
    102,997.38/154,457.19 = 47,554.50/x
  3. Step 3: Cross multiply
    102,997.38x = 154,457.19 × 47,554.50
  4. Step 4: Simplify right side
    102,997.38x = 7,345,134,441.86
  5. Step 5: Solve for x
    x = 7,345,134,441.86/102,997.38
  6. Step 6: Final answer
    x = 71,313.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.