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Finding the Fourth Proportional to 72,289.82, 108,431.61 and 19,699.30

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Solution

The fourth proportional to 72,289.82, 108,431.61 and 19,699.30 is: 29,548.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,289.82 : 108,431.61 = 19,699.30 : x
  2. Step 2: Convert to fraction form
    72,289.82/108,431.61 = 19,699.30/x
  3. Step 3: Cross multiply
    72,289.82x = 108,431.61 × 19,699.30
  4. Step 4: Simplify right side
    72,289.82x = 2,136,026,987.35
  5. Step 5: Solve for x
    x = 2,136,026,987.35/72,289.82
  6. Step 6: Final answer
    x = 29,548.10

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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.