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Finding the Fourth Proportional to 70,913.36, 106,361.76 and 18,318.72

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Solution

The fourth proportional to 70,913.36, 106,361.76 and 18,318.72 is: 27,475.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,913.36 : 106,361.76 = 18,318.72 : x
  2. Step 2: Convert to fraction form
    70,913.36/106,361.76 = 18,318.72/x
  3. Step 3: Cross multiply
    70,913.36x = 106,361.76 × 18,318.72
  4. Step 4: Simplify right side
    70,913.36x = 1,948,411,300.15
  5. Step 5: Solve for x
    x = 1,948,411,300.15/70,913.36
  6. Step 6: Final answer
    x = 27,475.94

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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.