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Finding the Fourth Proportional to 71,743.61, 107,607.24 and 19,149

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Solution

The fourth proportional to 71,743.61, 107,607.24 and 19,149 is: 28,721.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,743.61 : 107,607.24 = 19,149 : x
  2. Step 2: Convert to fraction form
    71,743.61/107,607.24 = 19,149/x
  3. Step 3: Cross multiply
    71,743.61x = 107,607.24 × 19,149
  4. Step 4: Simplify right side
    71,743.61x = 2,060,571,038.76
  5. Step 5: Solve for x
    x = 2,060,571,038.76/71,743.61
  6. Step 6: Final answer
    x = 28,721.32

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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.