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Finding the Fourth Proportional to 66,573.72, 91,745.46 and 47,678.04

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Solution

The fourth proportional to 66,573.72, 91,745.46 and 47,678.04 is: 65,705.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,573.72 : 91,745.46 = 47,678.04 : x
  2. Step 2: Convert to fraction form
    66,573.72/91,745.46 = 47,678.04/x
  3. Step 3: Cross multiply
    66,573.72x = 91,745.46 × 47,678.04
  4. Step 4: Simplify right side
    66,573.72x = 4,374,243,711.70
  5. Step 5: Solve for x
    x = 4,374,243,711.70/66,573.72
  6. Step 6: Final answer
    x = 65,705.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.