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Finding the Fourth Proportional to 72,509.76, 108,765.90 and 19,918.98

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Solution

The fourth proportional to 72,509.76, 108,765.90 and 19,918.98 is: 29,878.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,509.76 : 108,765.90 = 19,918.98 : x
  2. Step 2: Convert to fraction form
    72,509.76/108,765.90 = 19,918.98/x
  3. Step 3: Cross multiply
    72,509.76x = 108,765.90 × 19,918.98
  4. Step 4: Simplify right side
    72,509.76x = 2,166,505,786.78
  5. Step 5: Solve for x
    x = 2,166,505,786.78/72,509.76
  6. Step 6: Final answer
    x = 29,878.82

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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.