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Finding the Fourth Proportional to 258,078, 387,117 and 71,089.52

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Solution

The fourth proportional to 258,078, 387,117 and 71,089.52 is: 106,634.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,078 : 387,117 = 71,089.52 : x
  2. Step 2: Convert to fraction form
    258,078/387,117 = 71,089.52/x
  3. Step 3: Cross multiply
    258,078x = 387,117 × 71,089.52
  4. Step 4: Simplify right side
    258,078x = 27,519,961,713.84
  5. Step 5: Solve for x
    x = 27,519,961,713.84/258,078
  6. Step 6: Final answer
    x = 106,634.28

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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.