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Finding the Fourth Proportional to 47,702.54, 71,555.75 and 12,164.78

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Solution

The fourth proportional to 47,702.54, 71,555.75 and 12,164.78 is: 18,247.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,702.54 : 71,555.75 = 12,164.78 : x
  2. Step 2: Convert to fraction form
    47,702.54/71,555.75 = 12,164.78/x
  3. Step 3: Cross multiply
    47,702.54x = 71,555.75 × 12,164.78
  4. Step 4: Simplify right side
    47,702.54x = 870,459,956.49
  5. Step 5: Solve for x
    x = 870,459,956.49/47,702.54
  6. Step 6: Final answer
    x = 18,247.66

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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.