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Finding the Fourth Proportional to 255,915.18, 353,170.53 and 142,735.50

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Solution

The fourth proportional to 255,915.18, 353,170.53 and 142,735.50 is: 196,979.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,915.18 : 353,170.53 = 142,735.50 : x
  2. Step 2: Convert to fraction form
    255,915.18/353,170.53 = 142,735.50/x
  3. Step 3: Cross multiply
    255,915.18x = 353,170.53 × 142,735.50
  4. Step 4: Simplify right side
    255,915.18x = 50,409,972,184.82
  5. Step 5: Solve for x
    x = 50,409,972,184.82/255,915.18
  6. Step 6: Final answer
    x = 196,979.22

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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.