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Finding the Fourth Proportional to 215,794.10, 323,788.35 and 103,430.90

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Solution

The fourth proportional to 215,794.10, 323,788.35 and 103,430.90 is: 155,192.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,794.10 : 323,788.35 = 103,430.90 : x
  2. Step 2: Convert to fraction form
    215,794.10/323,788.35 = 103,430.90/x
  3. Step 3: Cross multiply
    215,794.10x = 323,788.35 × 103,430.90
  4. Step 4: Simplify right side
    215,794.10x = 33,489,720,450.02
  5. Step 5: Solve for x
    x = 33,489,720,450.02/215,794.10
  6. Step 6: Final answer
    x = 155,192.94

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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.