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Finding the Fourth Proportional to 255,996.48, 353,276.16 and 142,824

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Solution

The fourth proportional to 255,996.48, 353,276.16 and 142,824 is: 197,097.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,996.48 : 353,276.16 = 142,824 : x
  2. Step 2: Convert to fraction form
    255,996.48/353,276.16 = 142,824/x
  3. Step 3: Cross multiply
    255,996.48x = 353,276.16 × 142,824
  4. Step 4: Simplify right side
    255,996.48x = 50,456,314,275.84
  5. Step 5: Solve for x
    x = 50,456,314,275.84/255,996.48
  6. Step 6: Final answer
    x = 197,097.69

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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.