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Finding the Fourth Proportional to 219,146.81, 328,922.28 and 111,151.98

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Solution

The fourth proportional to 219,146.81, 328,922.28 and 111,151.98 is: 166,830.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,146.81 : 328,922.28 = 111,151.98 : x
  2. Step 2: Convert to fraction form
    219,146.81/328,922.28 = 111,151.98/x
  3. Step 3: Cross multiply
    219,146.81x = 328,922.28 × 111,151.98
  4. Step 4: Simplify right side
    219,146.81x = 36,560,362,688.11
  5. Step 5: Solve for x
    x = 36,560,362,688.11/219,146.81
  6. Step 6: Final answer
    x = 166,830.46

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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.