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Finding the Fourth Proportional to 258,594.30, 387,890.73 and 81,102.30

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Solution

The fourth proportional to 258,594.30, 387,890.73 and 81,102.30 is: 121,653.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,594.30 : 387,890.73 = 81,102.30 : x
  2. Step 2: Convert to fraction form
    258,594.30/387,890.73 = 81,102.30/x
  3. Step 3: Cross multiply
    258,594.30x = 387,890.73 × 81,102.30
  4. Step 4: Simplify right side
    258,594.30x = 31,458,830,351.68
  5. Step 5: Solve for x
    x = 31,458,830,351.68/258,594.30
  6. Step 6: Final answer
    x = 121,653.22

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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.