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Finding the Fourth Proportional to 170,821.60, 256,232.40 and 161,605.60

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Solution

The fourth proportional to 170,821.60, 256,232.40 and 161,605.60 is: 242,408.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,821.60 : 256,232.40 = 161,605.60 : x
  2. Step 2: Convert to fraction form
    170,821.60/256,232.40 = 161,605.60/x
  3. Step 3: Cross multiply
    170,821.60x = 256,232.40 × 161,605.60
  4. Step 4: Simplify right side
    170,821.60x = 41,408,590,741.44
  5. Step 5: Solve for x
    x = 41,408,590,741.44/170,821.60
  6. Step 6: Final answer
    x = 242,408.40

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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.