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Finding the Fourth Proportional to 218,830.68, 328,109.94 and 92,405.88

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Solution

The fourth proportional to 218,830.68, 328,109.94 and 92,405.88 is: 138,551.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,830.68 : 328,109.94 = 92,405.88 : x
  2. Step 2: Convert to fraction form
    218,830.68/328,109.94 = 92,405.88/x
  3. Step 3: Cross multiply
    218,830.68x = 328,109.94 × 92,405.88
  4. Step 4: Simplify right side
    218,830.68x = 30,319,287,742.45
  5. Step 5: Solve for x
    x = 30,319,287,742.45/218,830.68
  6. Step 6: Final answer
    x = 138,551.36

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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.