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Finding the Fourth Proportional to 66,953.34, 100,427.58 and 20,205

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Solution

The fourth proportional to 66,953.34, 100,427.58 and 20,205 is: 30,306.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,953.34 : 100,427.58 = 20,205 : x
  2. Step 2: Convert to fraction form
    66,953.34/100,427.58 = 20,205/x
  3. Step 3: Cross multiply
    66,953.34x = 100,427.58 × 20,205
  4. Step 4: Simplify right side
    66,953.34x = 2,029,139,253.90
  5. Step 5: Solve for x
    x = 2,029,139,253.90/66,953.34
  6. Step 6: Final answer
    x = 30,306.77

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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.