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Finding the Fourth Proportional to 75,395.24, 103,954 and 65,167.84

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Solution

The fourth proportional to 75,395.24, 103,954 and 65,167.84 is: 89,852.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,395.24 : 103,954 = 65,167.84 : x
  2. Step 2: Convert to fraction form
    75,395.24/103,954 = 65,167.84/x
  3. Step 3: Cross multiply
    75,395.24x = 103,954 × 65,167.84
  4. Step 4: Simplify right side
    75,395.24x = 6,774,457,639.36
  5. Step 5: Solve for x
    x = 6,774,457,639.36/75,395.24
  6. Step 6: Final answer
    x = 89,852.59

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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.