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Finding the Fourth Proportional to 47,128, 65,003.94 and 32,012.20

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Solution

The fourth proportional to 47,128, 65,003.94 and 32,012.20 is: 44,154.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,128 : 65,003.94 = 32,012.20 : x
  2. Step 2: Convert to fraction form
    47,128/65,003.94 = 32,012.20/x
  3. Step 3: Cross multiply
    47,128x = 65,003.94 × 32,012.20
  4. Step 4: Simplify right side
    47,128x = 2,080,919,128.07
  5. Step 5: Solve for x
    x = 2,080,919,128.07/47,128
  6. Step 6: Final answer
    x = 44,154.62

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