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Finding the Fourth Proportional to 255,866.36, 353,096.16 and 142,696.40

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Solution

The fourth proportional to 255,866.36, 353,096.16 and 142,696.40 is: 196,921.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,866.36 : 353,096.16 = 142,696.40 : x
  2. Step 2: Convert to fraction form
    255,866.36/353,096.16 = 142,696.40/x
  3. Step 3: Cross multiply
    255,866.36x = 353,096.16 × 142,696.40
  4. Step 4: Simplify right side
    255,866.36x = 50,385,550,885.82
  5. Step 5: Solve for x
    x = 50,385,550,885.82/255,866.36
  6. Step 6: Final answer
    x = 196,921.36

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1.5x scale

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.