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Finding the Fourth Proportional to 106,999.96, 160,495.08 and 40,435

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Solution

The fourth proportional to 106,999.96, 160,495.08 and 40,435 is: 60,650.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,999.96 : 160,495.08 = 40,435 : x
  2. Step 2: Convert to fraction form
    106,999.96/160,495.08 = 40,435/x
  3. Step 3: Cross multiply
    106,999.96x = 160,495.08 × 40,435
  4. Step 4: Simplify right side
    106,999.96x = 6,489,618,559.80
  5. Step 5: Solve for x
    x = 6,489,618,559.80/106,999.96
  6. Step 6: Final answer
    x = 60,650.66

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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.