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Finding the Fourth Proportional to 66,766.40, 100,200 and 45,656

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Solution

The fourth proportional to 66,766.40, 100,200 and 45,656 is: 68,518.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,766.40 : 100,200 = 45,656 : x
  2. Step 2: Convert to fraction form
    66,766.40/100,200 = 45,656/x
  3. Step 3: Cross multiply
    66,766.40x = 100,200 × 45,656
  4. Step 4: Simplify right side
    66,766.40x = 4,574,731,200
  5. Step 5: Solve for x
    x = 4,574,731,200/66,766.40
  6. Step 6: Final answer
    x = 68,518.46

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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.