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Finding the Fourth Proportional to 105,969.28, 159,019.44 and 61,616.80

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Solution

The fourth proportional to 105,969.28, 159,019.44 and 61,616.80 is: 92,463.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,969.28 : 159,019.44 = 61,616.80 : x
  2. Step 2: Convert to fraction form
    105,969.28/159,019.44 = 61,616.80/x
  3. Step 3: Cross multiply
    105,969.28x = 159,019.44 × 61,616.80
  4. Step 4: Simplify right side
    105,969.28x = 9,798,269,030.59
  5. Step 5: Solve for x
    x = 9,798,269,030.59/105,969.28
  6. Step 6: Final answer
    x = 92,463.30

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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.