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Finding the Fourth Proportional to 66,780, 100,179.86 and 19,395.45

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Solution

The fourth proportional to 66,780, 100,179.86 and 19,395.45 is: 29,096.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,780 : 100,179.86 = 19,395.45 : x
  2. Step 2: Convert to fraction form
    66,780/100,179.86 = 19,395.45/x
  3. Step 3: Cross multiply
    66,780x = 100,179.86 × 19,395.45
  4. Step 4: Simplify right side
    66,780x = 1,943,033,368.66
  5. Step 5: Solve for x
    x = 1,943,033,368.66/66,780
  6. Step 6: Final answer
    x = 29,096.04

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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.