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Finding the Fourth Proportional to 239,085.36, 329,838.92 and 142,270

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Solution

The fourth proportional to 239,085.36, 329,838.92 and 142,270 is: 196,273.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,085.36 : 329,838.92 = 142,270 : x
  2. Step 2: Convert to fraction form
    239,085.36/329,838.92 = 142,270/x
  3. Step 3: Cross multiply
    239,085.36x = 329,838.92 × 142,270
  4. Step 4: Simplify right side
    239,085.36x = 46,926,183,148.40
  5. Step 5: Solve for x
    x = 46,926,183,148.40/239,085.36
  6. Step 6: Final answer
    x = 196,273.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.