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Finding the Fourth Proportional to 259,411, 357,987.18 and 140,179

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Solution

The fourth proportional to 259,411, 357,987.18 and 140,179 is: 193,447.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,411 : 357,987.18 = 140,179 : x
  2. Step 2: Convert to fraction form
    259,411/357,987.18 = 140,179/x
  3. Step 3: Cross multiply
    259,411x = 357,987.18 × 140,179
  4. Step 4: Simplify right side
    259,411x = 50,182,284,905.22
  5. Step 5: Solve for x
    x = 50,182,284,905.22/259,411
  6. Step 6: Final answer
    x = 193,447.02

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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.