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Finding the Fourth Proportional to 65,896.34, 90,913.40 and 40,393.49

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Solution

The fourth proportional to 65,896.34, 90,913.40 and 40,393.49 is: 55,728.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,896.34 : 90,913.40 = 40,393.49 : x
  2. Step 2: Convert to fraction form
    65,896.34/90,913.40 = 40,393.49/x
  3. Step 3: Cross multiply
    65,896.34x = 90,913.40 × 40,393.49
  4. Step 4: Simplify right side
    65,896.34x = 3,672,308,857.23
  5. Step 5: Solve for x
    x = 3,672,308,857.23/65,896.34
  6. Step 6: Final answer
    x = 55,728.58

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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.