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Finding the Fourth Proportional to 259,302, 357,836.76 and 140,070

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Solution

The fourth proportional to 259,302, 357,836.76 and 140,070 is: 193,296.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,302 : 357,836.76 = 140,070 : x
  2. Step 2: Convert to fraction form
    259,302/357,836.76 = 140,070/x
  3. Step 3: Cross multiply
    259,302x = 357,836.76 × 140,070
  4. Step 4: Simplify right side
    259,302x = 50,122,194,973.20
  5. Step 5: Solve for x
    x = 50,122,194,973.20/259,302
  6. Step 6: Final answer
    x = 193,296.60

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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.