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Finding the Fourth Proportional to 218,804.96, 328,210 and 61,023.76

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Solution

The fourth proportional to 218,804.96, 328,210 and 61,023.76 is: 91,536.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,804.96 : 328,210 = 61,023.76 : x
  2. Step 2: Convert to fraction form
    218,804.96/328,210 = 61,023.76/x
  3. Step 3: Cross multiply
    218,804.96x = 328,210 × 61,023.76
  4. Step 4: Simplify right side
    218,804.96x = 20,028,608,269.60
  5. Step 5: Solve for x
    x = 20,028,608,269.60/218,804.96
  6. Step 6: Final answer
    x = 91,536.35

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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.