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Finding the Fourth Proportional to 73,798.20, 110,702.70 and 21,208.14

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Solution

The fourth proportional to 73,798.20, 110,702.70 and 21,208.14 is: 31,813.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,798.20 : 110,702.70 = 21,208.14 : x
  2. Step 2: Convert to fraction form
    73,798.20/110,702.70 = 21,208.14/x
  3. Step 3: Cross multiply
    73,798.20x = 110,702.70 × 21,208.14
  4. Step 4: Simplify right side
    73,798.20x = 2,347,798,359.98
  5. Step 5: Solve for x
    x = 2,347,798,359.98/73,798.20
  6. Step 6: Final answer
    x = 31,813.76

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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.