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Finding the Fourth Proportional to 103,905.44, 143,293.84 and 65,598.44

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Solution

The fourth proportional to 103,905.44, 143,293.84 and 65,598.44 is: 90,465.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,905.44 : 143,293.84 = 65,598.44 : x
  2. Step 2: Convert to fraction form
    103,905.44/143,293.84 = 65,598.44/x
  3. Step 3: Cross multiply
    103,905.44x = 143,293.84 × 65,598.44
  4. Step 4: Simplify right side
    103,905.44x = 9,399,851,485.14
  5. Step 5: Solve for x
    x = 9,399,851,485.14/103,905.44
  6. Step 6: Final answer
    x = 90,465.44

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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.