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Finding the Fourth Proportional to 85,428.60, 128,165.30 and 32,839.80

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Solution

The fourth proportional to 85,428.60, 128,165.30 and 32,839.80 is: 49,268.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,428.60 : 128,165.30 = 32,839.80 : x
  2. Step 2: Convert to fraction form
    85,428.60/128,165.30 = 32,839.80/x
  3. Step 3: Cross multiply
    85,428.60x = 128,165.30 × 32,839.80
  4. Step 4: Simplify right side
    85,428.60x = 4,208,922,818.94
  5. Step 5: Solve for x
    x = 4,208,922,818.94/85,428.60
  6. Step 6: Final answer
    x = 49,268.31

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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.