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Finding the Fourth Proportional to 239,431.80, 359,097.30 and 120,991.80

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Solution

The fourth proportional to 239,431.80, 359,097.30 and 120,991.80 is: 181,462.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,431.80 : 359,097.30 = 120,991.80 : x
  2. Step 2: Convert to fraction form
    239,431.80/359,097.30 = 120,991.80/x
  3. Step 3: Cross multiply
    239,431.80x = 359,097.30 × 120,991.80
  4. Step 4: Simplify right side
    239,431.80x = 43,447,828,702.14
  5. Step 5: Solve for x
    x = 43,447,828,702.14/239,431.80
  6. Step 6: Final answer
    x = 181,462.23

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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.