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Finding the Fourth Proportional to 70,398.81, 105,576.35 and 23,640.75

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Solution

The fourth proportional to 70,398.81, 105,576.35 and 23,640.75 is: 35,453.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,398.81 : 105,576.35 = 23,640.75 : x
  2. Step 2: Convert to fraction form
    70,398.81/105,576.35 = 23,640.75/x
  3. Step 3: Cross multiply
    70,398.81x = 105,576.35 × 23,640.75
  4. Step 4: Simplify right side
    70,398.81x = 2,495,903,978.06
  5. Step 5: Solve for x
    x = 2,495,903,978.06/70,398.81
  6. Step 6: Final answer
    x = 35,453.78

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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.