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Finding the Fourth Proportional to 258,537.63, 387,806.57 and 81,058.49

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Solution

The fourth proportional to 258,537.63, 387,806.57 and 81,058.49 is: 121,587.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,537.63 : 387,806.57 = 81,058.49 : x
  2. Step 2: Convert to fraction form
    258,537.63/387,806.57 = 81,058.49/x
  3. Step 3: Cross multiply
    258,537.63x = 387,806.57 × 81,058.49
  4. Step 4: Simplify right side
    258,537.63x = 31,435,012,631.95
  5. Step 5: Solve for x
    x = 31,435,012,631.95/258,537.63
  6. Step 6: Final answer
    x = 121,587.77

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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.