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Finding the Fourth Proportional to 90,595, 135,916.60 and 31,430.60

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Solution

The fourth proportional to 90,595, 135,916.60 and 31,430.60 is: 47,154.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,595 : 135,916.60 = 31,430.60 : x
  2. Step 2: Convert to fraction form
    90,595/135,916.60 = 31,430.60/x
  3. Step 3: Cross multiply
    90,595x = 135,916.60 × 31,430.60
  4. Step 4: Simplify right side
    90,595x = 4,271,940,287.96
  5. Step 5: Solve for x
    x = 4,271,940,287.96/90,595
  6. Step 6: Final answer
    x = 47,154.26

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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.