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Finding the Fourth Proportional to 259,232, 357,740.16 and 140,000

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Solution

The fourth proportional to 259,232, 357,740.16 and 140,000 is: 193,200

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,232 : 357,740.16 = 140,000 : x
  2. Step 2: Convert to fraction form
    259,232/357,740.16 = 140,000/x
  3. Step 3: Cross multiply
    259,232x = 357,740.16 × 140,000
  4. Step 4: Simplify right side
    259,232x = 50,083,622,400
  5. Step 5: Solve for x
    x = 50,083,622,400/259,232
  6. Step 6: Final answer
    x = 193,200

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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.