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Finding the Fourth Proportional to 74,380.50, 102,619.42 and 47,538.72

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Solution

The fourth proportional to 74,380.50, 102,619.42 and 47,538.72 is: 65,587.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,380.50 : 102,619.42 = 47,538.72 : x
  2. Step 2: Convert to fraction form
    74,380.50/102,619.42 = 47,538.72/x
  3. Step 3: Cross multiply
    74,380.50x = 102,619.42 × 47,538.72
  4. Step 4: Simplify right side
    74,380.50x = 4,878,395,873.94
  5. Step 5: Solve for x
    x = 4,878,395,873.94/74,380.50
  6. Step 6: Final answer
    x = 65,587.03

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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.