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Finding the Fourth Proportional to 51,561, 71,154.18 and 29,205

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Solution

The fourth proportional to 51,561, 71,154.18 and 29,205 is: 40,302.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,561 : 71,154.18 = 29,205 : x
  2. Step 2: Convert to fraction form
    51,561/71,154.18 = 29,205/x
  3. Step 3: Cross multiply
    51,561x = 71,154.18 × 29,205
  4. Step 4: Simplify right side
    51,561x = 2,078,057,826.90
  5. Step 5: Solve for x
    x = 2,078,057,826.90/51,561
  6. Step 6: Final answer
    x = 40,302.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.