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Finding the Fourth Proportional to 159,643.20, 239,431.20 and 80,683.20

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Solution

The fourth proportional to 159,643.20, 239,431.20 and 80,683.20 is: 121,007.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,643.20 : 239,431.20 = 80,683.20 : x
  2. Step 2: Convert to fraction form
    159,643.20/239,431.20 = 80,683.20/x
  3. Step 3: Cross multiply
    159,643.20x = 239,431.20 × 80,683.20
  4. Step 4: Simplify right side
    159,643.20x = 19,318,075,395.84
  5. Step 5: Solve for x
    x = 19,318,075,395.84/159,643.20
  6. Step 6: Final answer
    x = 121,007.82

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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.