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Finding the Fourth Proportional to 259,262, 357,781.80 and 140,030

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Solution

The fourth proportional to 259,262, 357,781.80 and 140,030 is: 193,241.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,262 : 357,781.80 = 140,030 : x
  2. Step 2: Convert to fraction form
    259,262/357,781.80 = 140,030/x
  3. Step 3: Cross multiply
    259,262x = 357,781.80 × 140,030
  4. Step 4: Simplify right side
    259,262x = 50,100,185,454
  5. Step 5: Solve for x
    x = 50,100,185,454/259,262
  6. Step 6: Final answer
    x = 193,241.53

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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.