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Finding the Fourth Proportional to 218,921.86, 328,382.79 and 100,692.64

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Solution

The fourth proportional to 218,921.86, 328,382.79 and 100,692.64 is: 151,038.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,921.86 : 328,382.79 = 100,692.64 : x
  2. Step 2: Convert to fraction form
    218,921.86/328,382.79 = 100,692.64/x
  3. Step 3: Cross multiply
    218,921.86x = 328,382.79 × 100,692.64
  4. Step 4: Simplify right side
    218,921.86x = 33,065,730,055.67
  5. Step 5: Solve for x
    x = 33,065,730,055.67/218,921.86
  6. Step 6: Final answer
    x = 151,038.96

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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.