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Finding the Fourth Proportional to 231,779.67, 347,815.76 and 98,659.72

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Solution

The fourth proportional to 231,779.67, 347,815.76 and 98,659.72 is: 148,051.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,779.67 : 347,815.76 = 98,659.72 : x
  2. Step 2: Convert to fraction form
    231,779.67/347,815.76 = 98,659.72/x
  3. Step 3: Cross multiply
    231,779.67x = 347,815.76 × 98,659.72
  4. Step 4: Simplify right side
    231,779.67x = 34,315,405,493.19
  5. Step 5: Solve for x
    x = 34,315,405,493.19/231,779.67
  6. Step 6: Final answer
    x = 148,051.84

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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.