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Finding the Fourth Proportional to 242,838, 335,116.44 and 142,236

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Solution

The fourth proportional to 242,838, 335,116.44 and 142,236 is: 196,285.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,838 : 335,116.44 = 142,236 : x
  2. Step 2: Convert to fraction form
    242,838/335,116.44 = 142,236/x
  3. Step 3: Cross multiply
    242,838x = 335,116.44 × 142,236
  4. Step 4: Simplify right side
    242,838x = 47,665,621,959.84
  5. Step 5: Solve for x
    x = 47,665,621,959.84/242,838
  6. Step 6: Final answer
    x = 196,285.68

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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.