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Finding the Fourth Proportional to 91,896, 137,835.36 and 32,729.28

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Solution

The fourth proportional to 91,896, 137,835.36 and 32,729.28 is: 49,090.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,896 : 137,835.36 = 32,729.28 : x
  2. Step 2: Convert to fraction form
    91,896/137,835.36 = 32,729.28/x
  3. Step 3: Cross multiply
    91,896x = 137,835.36 × 32,729.28
  4. Step 4: Simplify right side
    91,896x = 4,511,252,091.34
  5. Step 5: Solve for x
    x = 4,511,252,091.34/91,896
  6. Step 6: Final answer
    x = 49,090.84

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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.