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Finding the Fourth Proportional to 105,106, 157,685.68 and 30,224.54

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Solution

The fourth proportional to 105,106, 157,685.68 and 30,224.54 is: 45,344.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,106 : 157,685.68 = 30,224.54 : x
  2. Step 2: Convert to fraction form
    105,106/157,685.68 = 30,224.54/x
  3. Step 3: Cross multiply
    105,106x = 157,685.68 × 30,224.54
  4. Step 4: Simplify right side
    105,106x = 4,765,976,354.16
  5. Step 5: Solve for x
    x = 4,765,976,354.16/105,106
  6. Step 6: Final answer
    x = 45,344.47

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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.