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Finding the Fourth Proportional to 66,852, 100,166.80 and 47,088.80

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Solution

The fourth proportional to 66,852, 100,166.80 and 47,088.80 is: 70,554.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,852 : 100,166.80 = 47,088.80 : x
  2. Step 2: Convert to fraction form
    66,852/100,166.80 = 47,088.80/x
  3. Step 3: Cross multiply
    66,852x = 100,166.80 × 47,088.80
  4. Step 4: Simplify right side
    66,852x = 4,716,734,411.84
  5. Step 5: Solve for x
    x = 4,716,734,411.84/66,852
  6. Step 6: Final answer
    x = 70,554.87

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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.