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Finding the Fourth Proportional to 258,537.76, 387,806.75 and 81,058.60

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Solution

The fourth proportional to 258,537.76, 387,806.75 and 81,058.60 is: 121,587.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,537.76 : 387,806.75 = 81,058.60 : x
  2. Step 2: Convert to fraction form
    258,537.76/387,806.75 = 81,058.60/x
  3. Step 3: Cross multiply
    258,537.76x = 387,806.75 × 81,058.60
  4. Step 4: Simplify right side
    258,537.76x = 31,435,072,225.55
  5. Step 5: Solve for x
    x = 31,435,072,225.55/258,537.76
  6. Step 6: Final answer
    x = 121,587.93

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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.