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Finding the Fourth Proportional to 51,885.60, 71,589.12 and 29,220

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Solution

The fourth proportional to 51,885.60, 71,589.12 and 29,220 is: 40,316.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,885.60 : 71,589.12 = 29,220 : x
  2. Step 2: Convert to fraction form
    51,885.60/71,589.12 = 29,220/x
  3. Step 3: Cross multiply
    51,885.60x = 71,589.12 × 29,220
  4. Step 4: Simplify right side
    51,885.60x = 2,091,834,086.40
  5. Step 5: Solve for x
    x = 2,091,834,086.40/51,885.60
  6. Step 6: Final answer
    x = 40,316.27

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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.