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Finding the Fourth Proportional to 255,054.78, 351,978.55 and 146,156.96

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Solution

The fourth proportional to 255,054.78, 351,978.55 and 146,156.96 is: 201,698.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,054.78 : 351,978.55 = 146,156.96 : x
  2. Step 2: Convert to fraction form
    255,054.78/351,978.55 = 146,156.96/x
  3. Step 3: Cross multiply
    255,054.78x = 351,978.55 × 146,156.96
  4. Step 4: Simplify right side
    255,054.78x = 51,444,115,915.85
  5. Step 5: Solve for x
    x = 51,444,115,915.85/255,054.78
  6. Step 6: Final answer
    x = 201,698.30

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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.