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Finding the Fourth Proportional to 75,204.99, 103,817.30 and 64,955.25

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Solution

The fourth proportional to 75,204.99, 103,817.30 and 64,955.25 is: 89,667.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,204.99 : 103,817.30 = 64,955.25 : x
  2. Step 2: Convert to fraction form
    75,204.99/103,817.30 = 64,955.25/x
  3. Step 3: Cross multiply
    75,204.99x = 103,817.30 × 64,955.25
  4. Step 4: Simplify right side
    75,204.99x = 6,743,478,351.05
  5. Step 5: Solve for x
    x = 6,743,478,351.05/75,204.99
  6. Step 6: Final answer
    x = 89,667.96

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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.