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Finding the Fourth Proportional to 51,734.40, 71,407.08 and 30,520.50

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Solution

The fourth proportional to 51,734.40, 71,407.08 and 30,520.50 is: 42,126.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,734.40 : 71,407.08 = 30,520.50 : x
  2. Step 2: Convert to fraction form
    51,734.40/71,407.08 = 30,520.50/x
  3. Step 3: Cross multiply
    51,734.40x = 71,407.08 × 30,520.50
  4. Step 4: Simplify right side
    51,734.40x = 2,179,379,785.14
  5. Step 5: Solve for x
    x = 2,179,379,785.14/51,734.40
  6. Step 6: Final answer
    x = 42,126.32

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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.