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Finding the Fourth Proportional to 257,696.27, 355,608.80 and 142,973.69

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Solution

The fourth proportional to 257,696.27, 355,608.80 and 142,973.69 is: 197,297.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,696.27 : 355,608.80 = 142,973.69 : x
  2. Step 2: Convert to fraction form
    257,696.27/355,608.80 = 142,973.69/x
  3. Step 3: Cross multiply
    257,696.27x = 355,608.80 × 142,973.69
  4. Step 4: Simplify right side
    257,696.27x = 50,842,702,376.01
  5. Step 5: Solve for x
    x = 50,842,702,376.01/257,696.27
  6. Step 6: Final answer
    x = 197,297.01

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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.