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Finding the Fourth Proportional to 218,771.30, 328,193.40 and 85,655.90

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Solution

The fourth proportional to 218,771.30, 328,193.40 and 85,655.90 is: 128,498.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,771.30 : 328,193.40 = 85,655.90 : x
  2. Step 2: Convert to fraction form
    218,771.30/328,193.40 = 85,655.90/x
  3. Step 3: Cross multiply
    218,771.30x = 328,193.40 × 85,655.90
  4. Step 4: Simplify right side
    218,771.30x = 28,111,701,051.06
  5. Step 5: Solve for x
    x = 28,111,701,051.06/218,771.30
  6. Step 6: Final answer
    x = 128,498.12

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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.