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Finding the Fourth Proportional to 75,330, 103,955.40 and 41,796.72

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Solution

The fourth proportional to 75,330, 103,955.40 and 41,796.72 is: 57,679.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,330 : 103,955.40 = 41,796.72 : x
  2. Step 2: Convert to fraction form
    75,330/103,955.40 = 41,796.72/x
  3. Step 3: Cross multiply
    75,330x = 103,955.40 × 41,796.72
  4. Step 4: Simplify right side
    75,330x = 4,344,994,746.29
  5. Step 5: Solve for x
    x = 4,344,994,746.29/75,330
  6. Step 6: Final answer
    x = 57,679.47

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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.