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Finding the Fourth Proportional to 225,923.94, 338,684.40 and 85,780.98

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Solution

The fourth proportional to 225,923.94, 338,684.40 and 85,780.98 is: 128,594.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,923.94 : 338,684.40 = 85,780.98 : x
  2. Step 2: Convert to fraction form
    225,923.94/338,684.40 = 85,780.98/x
  3. Step 3: Cross multiply
    225,923.94x = 338,684.40 × 85,780.98
  4. Step 4: Simplify right side
    225,923.94x = 29,052,679,742.71
  5. Step 5: Solve for x
    x = 29,052,679,742.71/225,923.94
  6. Step 6: Final answer
    x = 128,594.96

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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.