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Finding the Fourth Proportional to 259,240, 357,751.20 and 140,008

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Solution

The fourth proportional to 259,240, 357,751.20 and 140,008 is: 193,211.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,240 : 357,751.20 = 140,008 : x
  2. Step 2: Convert to fraction form
    259,240/357,751.20 = 140,008/x
  3. Step 3: Cross multiply
    259,240x = 357,751.20 × 140,008
  4. Step 4: Simplify right side
    259,240x = 50,088,030,009.60
  5. Step 5: Solve for x
    x = 50,088,030,009.60/259,240
  6. Step 6: Final answer
    x = 193,211.04

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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.