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Finding the Fourth Proportional to 255,823, 353,174.16 and 153,871.22

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Solution

The fourth proportional to 255,823, 353,174.16 and 153,871.22 is: 212,425.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,823 : 353,174.16 = 153,871.22 : x
  2. Step 2: Convert to fraction form
    255,823/353,174.16 = 153,871.22/x
  3. Step 3: Cross multiply
    255,823x = 353,174.16 × 153,871.22
  4. Step 4: Simplify right side
    255,823x = 54,343,338,871.68
  5. Step 5: Solve for x
    x = 54,343,338,871.68/255,823
  6. Step 6: Final answer
    x = 212,425.54

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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.