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Finding the Fourth Proportional to 51,520, 71,097.60 and 29,164

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Solution

The fourth proportional to 51,520, 71,097.60 and 29,164 is: 40,246.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,520 : 71,097.60 = 29,164 : x
  2. Step 2: Convert to fraction form
    51,520/71,097.60 = 29,164/x
  3. Step 3: Cross multiply
    51,520x = 71,097.60 × 29,164
  4. Step 4: Simplify right side
    51,520x = 2,073,490,406.40
  5. Step 5: Solve for x
    x = 2,073,490,406.40/51,520
  6. Step 6: Final answer
    x = 40,246.32

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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.