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Finding the Fourth Proportional to 258,133.50, 386,371.08 and 137,889.81

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Solution

The fourth proportional to 258,133.50, 386,371.08 and 137,889.81 is: 206,391.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,133.50 : 386,371.08 = 137,889.81 : x
  2. Step 2: Convert to fraction form
    258,133.50/386,371.08 = 137,889.81/x
  3. Step 3: Cross multiply
    258,133.50x = 386,371.08 × 137,889.81
  4. Step 4: Simplify right side
    258,133.50x = 53,276,634,810.69
  5. Step 5: Solve for x
    x = 53,276,634,810.69/258,133.50
  6. Step 6: Final answer
    x = 206,391.79

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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.