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Finding the Fourth Proportional to 65,958.54, 91,043.45 and 42,085.17

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Solution

The fourth proportional to 65,958.54, 91,043.45 and 42,085.17 is: 58,090.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,958.54 : 91,043.45 = 42,085.17 : x
  2. Step 2: Convert to fraction form
    65,958.54/91,043.45 = 42,085.17/x
  3. Step 3: Cross multiply
    65,958.54x = 91,043.45 × 42,085.17
  4. Step 4: Simplify right side
    65,958.54x = 3,831,579,175.85
  5. Step 5: Solve for x
    x = 3,831,579,175.85/65,958.54
  6. Step 6: Final answer
    x = 58,090.72

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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.