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Finding the Fourth Proportional to 66,843.66, 100,314.50 and 53,852.88

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Solution

The fourth proportional to 66,843.66, 100,314.50 and 53,852.88 is: 80,818.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,843.66 : 100,314.50 = 53,852.88 : x
  2. Step 2: Convert to fraction form
    66,843.66/100,314.50 = 53,852.88/x
  3. Step 3: Cross multiply
    66,843.66x = 100,314.50 × 53,852.88
  4. Step 4: Simplify right side
    66,843.66x = 5,402,224,461.50
  5. Step 5: Solve for x
    x = 5,402,224,461.50/66,843.66
  6. Step 6: Final answer
    x = 80,818.80

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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.