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Finding the Fourth Proportional to 218,612.43, 301,681.10 and 119,157.89

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Solution

The fourth proportional to 218,612.43, 301,681.10 and 119,157.89 is: 164,435.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,612.43 : 301,681.10 = 119,157.89 : x
  2. Step 2: Convert to fraction form
    218,612.43/301,681.10 = 119,157.89/x
  3. Step 3: Cross multiply
    218,612.43x = 301,681.10 × 119,157.89
  4. Step 4: Simplify right side
    218,612.43x = 35,947,682,574.68
  5. Step 5: Solve for x
    x = 35,947,682,574.68/218,612.43
  6. Step 6: Final answer
    x = 164,435.68

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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.