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Finding the Fourth Proportional to 258,037.81, 356,080.05 and 143,323.89

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Solution

The fourth proportional to 258,037.81, 356,080.05 and 143,323.89 is: 197,780.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,037.81 : 356,080.05 = 143,323.89 : x
  2. Step 2: Convert to fraction form
    258,037.81/356,080.05 = 143,323.89/x
  3. Step 3: Cross multiply
    258,037.81x = 356,080.05 × 143,323.89
  4. Step 4: Simplify right side
    258,037.81x = 51,034,777,917.39
  5. Step 5: Solve for x
    x = 51,034,777,917.39/258,037.81
  6. Step 6: Final answer
    x = 197,780.23

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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.