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Finding the Fourth Proportional to 259,296, 357,828.80 and 140,064

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Solution

The fourth proportional to 259,296, 357,828.80 and 140,064 is: 193,288.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,296 : 357,828.80 = 140,064 : x
  2. Step 2: Convert to fraction form
    259,296/357,828.80 = 140,064/x
  3. Step 3: Cross multiply
    259,296x = 357,828.80 × 140,064
  4. Step 4: Simplify right side
    259,296x = 50,118,933,043.20
  5. Step 5: Solve for x
    x = 50,118,933,043.20/259,296
  6. Step 6: Final answer
    x = 193,288.49

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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.