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Finding the Fourth Proportional to 258,293.49, 387,456.64 and 68,750.76

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Solution

The fourth proportional to 258,293.49, 387,456.64 and 68,750.76 is: 103,130.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,293.49 : 387,456.64 = 68,750.76 : x
  2. Step 2: Convert to fraction form
    258,293.49/387,456.64 = 68,750.76/x
  3. Step 3: Cross multiply
    258,293.49x = 387,456.64 × 68,750.76
  4. Step 4: Simplify right side
    258,293.49x = 26,637,938,467.05
  5. Step 5: Solve for x
    x = 26,637,938,467.05/258,293.49
  6. Step 6: Final answer
    x = 103,130.51

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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.