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Finding the Fourth Proportional to 258,830.27, 388,284.57 and 81,320.57

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Solution

The fourth proportional to 258,830.27, 388,284.57 and 81,320.57 is: 121,993.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,830.27 : 388,284.57 = 81,320.57 : x
  2. Step 2: Convert to fraction form
    258,830.27/388,284.57 = 81,320.57/x
  3. Step 3: Cross multiply
    258,830.27x = 388,284.57 × 81,320.57
  4. Step 4: Simplify right side
    258,830.27x = 31,575,520,613.18
  5. Step 5: Solve for x
    x = 31,575,520,613.18/258,830.27
  6. Step 6: Final answer
    x = 121,993.15

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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.