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Finding the Fourth Proportional to 43,424.64, 65,007.36 and 38,918.40

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Solution

The fourth proportional to 43,424.64, 65,007.36 and 38,918.40 is: 58,261.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,424.64 : 65,007.36 = 38,918.40 : x
  2. Step 2: Convert to fraction form
    43,424.64/65,007.36 = 38,918.40/x
  3. Step 3: Cross multiply
    43,424.64x = 65,007.36 × 38,918.40
  4. Step 4: Simplify right side
    43,424.64x = 2,529,982,439.42
  5. Step 5: Solve for x
    x = 2,529,982,439.42/43,424.64
  6. Step 6: Final answer
    x = 58,261.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.