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Finding the Fourth Proportional to 66,741.82, 100,001.90 and 46,978.85

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Solution

The fourth proportional to 66,741.82, 100,001.90 and 46,978.85 is: 70,390.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,741.82 : 100,001.90 = 46,978.85 : x
  2. Step 2: Convert to fraction form
    66,741.82/100,001.90 = 46,978.85/x
  3. Step 3: Cross multiply
    66,741.82x = 100,001.90 × 46,978.85
  4. Step 4: Simplify right side
    66,741.82x = 4,697,974,627.27
  5. Step 5: Solve for x
    x = 4,697,974,627.27/66,741.82
  6. Step 6: Final answer
    x = 70,390.27

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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.