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Finding the Fourth Proportional to 57,205.43, 85,823.07 and 21,666.98

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Solution

The fourth proportional to 57,205.43, 85,823.07 and 21,666.98 is: 32,506.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,205.43 : 85,823.07 = 21,666.98 : x
  2. Step 2: Convert to fraction form
    57,205.43/85,823.07 = 21,666.98/x
  3. Step 3: Cross multiply
    57,205.43x = 85,823.07 × 21,666.98
  4. Step 4: Simplify right side
    57,205.43x = 1,859,526,312.11
  5. Step 5: Solve for x
    x = 1,859,526,312.11/57,205.43
  6. Step 6: Final answer
    x = 32,506.12

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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.