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Finding the Fourth Proportional to 73,682.64, 101,682.48 and 40,148.64

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Solution

The fourth proportional to 73,682.64, 101,682.48 and 40,148.64 is: 55,405.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,682.64 : 101,682.48 = 40,148.64 : x
  2. Step 2: Convert to fraction form
    73,682.64/101,682.48 = 40,148.64/x
  3. Step 3: Cross multiply
    73,682.64x = 101,682.48 × 40,148.64
  4. Step 4: Simplify right side
    73,682.64x = 4,082,413,283.83
  5. Step 5: Solve for x
    x = 4,082,413,283.83/73,682.64
  6. Step 6: Final answer
    x = 55,405.36

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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.