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Finding the Fourth Proportional to 258,461.88, 387,711.32 and 68,921.25

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Solution

The fourth proportional to 258,461.88, 387,711.32 and 68,921.25 is: 103,386.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,461.88 : 387,711.32 = 68,921.25 : x
  2. Step 2: Convert to fraction form
    258,461.88/387,711.32 = 68,921.25/x
  3. Step 3: Cross multiply
    258,461.88x = 387,711.32 × 68,921.25
  4. Step 4: Simplify right side
    258,461.88x = 26,721,548,813.55
  5. Step 5: Solve for x
    x = 26,721,548,813.55/258,461.88
  6. Step 6: Final answer
    x = 103,386.81

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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.