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Finding the Fourth Proportional to 258,803.22, 388,204.76 and 81,325.74

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Solution

The fourth proportional to 258,803.22, 388,204.76 and 81,325.74 is: 121,988.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,803.22 : 388,204.76 = 81,325.74 : x
  2. Step 2: Convert to fraction form
    258,803.22/388,204.76 = 81,325.74/x
  3. Step 3: Cross multiply
    258,803.22x = 388,204.76 × 81,325.74
  4. Step 4: Simplify right side
    258,803.22x = 31,571,039,378.52
  5. Step 5: Solve for x
    x = 31,571,039,378.52/258,803.22
  6. Step 6: Final answer
    x = 121,988.59

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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.