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Finding the Fourth Proportional to 258,558.06, 387,837.14 and 81,078.76

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Solution

The fourth proportional to 258,558.06, 387,837.14 and 81,078.76 is: 121,618.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,558.06 : 387,837.14 = 81,078.76 : x
  2. Step 2: Convert to fraction form
    258,558.06/387,837.14 = 81,078.76/x
  3. Step 3: Cross multiply
    258,558.06x = 387,837.14 × 81,078.76
  4. Step 4: Simplify right side
    258,558.06x = 31,445,354,393.15
  5. Step 5: Solve for x
    x = 31,445,354,393.15/258,558.06
  6. Step 6: Final answer
    x = 121,618.16

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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.