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Finding the Fourth Proportional to 66,894.93, 100,359.13 and 47,211.93

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Solution

The fourth proportional to 66,894.93, 100,359.13 and 47,211.93 is: 70,829.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,894.93 : 100,359.13 = 47,211.93 : x
  2. Step 2: Convert to fraction form
    66,894.93/100,359.13 = 47,211.93/x
  3. Step 3: Cross multiply
    66,894.93x = 100,359.13 × 47,211.93
  4. Step 4: Simplify right side
    66,894.93x = 4,738,148,589.35
  5. Step 5: Solve for x
    x = 4,738,148,589.35/66,894.93
  6. Step 6: Final answer
    x = 70,829.71

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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.