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Finding the Fourth Proportional to 103,165.49, 154,762.00 and 40,821.41

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Solution

The fourth proportional to 103,165.49, 154,762.00 and 40,821.41 is: 61,237.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,165.49 : 154,762.00 = 40,821.41 : x
  2. Step 2: Convert to fraction form
    103,165.49/154,762.00 = 40,821.41/x
  3. Step 3: Cross multiply
    103,165.49x = 154,762.00 × 40,821.41
  4. Step 4: Simplify right side
    103,165.49x = 6,317,602,178.56
  5. Step 5: Solve for x
    x = 6,317,602,178.56/103,165.49
  6. Step 6: Final answer
    x = 61,237.56

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Why These Related Problems?

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