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Finding the Fourth Proportional to 231,779.78, 347,825.46 and 82,019.45

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Solution

The fourth proportional to 231,779.78, 347,825.46 and 82,019.45 is: 123,084.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,779.78 : 347,825.46 = 82,019.45 : x
  2. Step 2: Convert to fraction form
    231,779.78/347,825.46 = 82,019.45/x
  3. Step 3: Cross multiply
    231,779.78x = 347,825.46 × 82,019.45
  4. Step 4: Simplify right side
    231,779.78x = 28,528,452,925.20
  5. Step 5: Solve for x
    x = 28,528,452,925.20/231,779.78
  6. Step 6: Final answer
    x = 123,084.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.