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Finding the Fourth Proportional to 30,658, 42,313.16 and 23,193.04

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Solution

The fourth proportional to 30,658, 42,313.16 and 23,193.04 is: 32,010.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,658 : 42,313.16 = 23,193.04 : x
  2. Step 2: Convert to fraction form
    30,658/42,313.16 = 23,193.04/x
  3. Step 3: Cross multiply
    30,658x = 42,313.16 × 23,193.04
  4. Step 4: Simplify right side
    30,658x = 981,370,812.41
  5. Step 5: Solve for x
    x = 981,370,812.41/30,658
  6. Step 6: Final answer
    x = 32,010.27

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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.