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Finding the Fourth Proportional to 245,969.40, 369,126.90 and 105,828.60

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Solution

The fourth proportional to 245,969.40, 369,126.90 and 105,828.60 is: 158,817.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,969.40 : 369,126.90 = 105,828.60 : x
  2. Step 2: Convert to fraction form
    245,969.40/369,126.90 = 105,828.60/x
  3. Step 3: Cross multiply
    245,969.40x = 369,126.90 × 105,828.60
  4. Step 4: Simplify right side
    245,969.40x = 39,064,183,049.34
  5. Step 5: Solve for x
    x = 39,064,183,049.34/245,969.40
  6. Step 6: Final answer
    x = 158,817.25

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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.