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Finding the Fourth Proportional to 255,862.36, 353,090.64 and 142,692.40

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Solution

The fourth proportional to 255,862.36, 353,090.64 and 142,692.40 is: 196,915.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,862.36 : 353,090.64 = 142,692.40 : x
  2. Step 2: Convert to fraction form
    255,862.36/353,090.64 = 142,692.40/x
  3. Step 3: Cross multiply
    255,862.36x = 353,090.64 × 142,692.40
  4. Step 4: Simplify right side
    255,862.36x = 50,383,350,839.14
  5. Step 5: Solve for x
    x = 50,383,350,839.14/255,862.36
  6. Step 6: Final answer
    x = 196,915.84

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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.