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Finding the Fourth Proportional to 258,912, 388,368 and 71,925.12

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Solution

The fourth proportional to 258,912, 388,368 and 71,925.12 is: 107,887.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,912 : 388,368 = 71,925.12 : x
  2. Step 2: Convert to fraction form
    258,912/388,368 = 71,925.12/x
  3. Step 3: Cross multiply
    258,912x = 388,368 × 71,925.12
  4. Step 4: Simplify right side
    258,912x = 27,933,415,004.16
  5. Step 5: Solve for x
    x = 27,933,415,004.16/258,912
  6. Step 6: Final answer
    x = 107,887.68

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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.