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Finding the Fourth Proportional to 320,196.60, 480,240.24 and 106,935

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Solution

The fourth proportional to 320,196.60, 480,240.24 and 106,935 is: 160,384.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,196.60 : 480,240.24 = 106,935 : x
  2. Step 2: Convert to fraction form
    320,196.60/480,240.24 = 106,935/x
  3. Step 3: Cross multiply
    320,196.60x = 480,240.24 × 106,935
  4. Step 4: Simplify right side
    320,196.60x = 51,354,490,064.40
  5. Step 5: Solve for x
    x = 51,354,490,064.40/320,196.60
  6. Step 6: Final answer
    x = 160,384.25

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