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Finding the Fourth Proportional to 72,005.10, 108,007.65 and 19,419.90

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Solution

The fourth proportional to 72,005.10, 108,007.65 and 19,419.90 is: 29,129.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,005.10 : 108,007.65 = 19,419.90 : x
  2. Step 2: Convert to fraction form
    72,005.10/108,007.65 = 19,419.90/x
  3. Step 3: Cross multiply
    72,005.10x = 108,007.65 × 19,419.90
  4. Step 4: Simplify right side
    72,005.10x = 2,097,497,762.24
  5. Step 5: Solve for x
    x = 2,097,497,762.24/72,005.10
  6. Step 6: Final answer
    x = 29,129.85

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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.