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Finding the Fourth Proportional to 71,271.84, 106,914.24 and 18,681.12

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Solution

The fourth proportional to 71,271.84, 106,914.24 and 18,681.12 is: 28,023.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,271.84 : 106,914.24 = 18,681.12 : x
  2. Step 2: Convert to fraction form
    71,271.84/106,914.24 = 18,681.12/x
  3. Step 3: Cross multiply
    71,271.84x = 106,914.24 × 18,681.12
  4. Step 4: Simplify right side
    71,271.84x = 1,997,277,747.15
  5. Step 5: Solve for x
    x = 1,997,277,747.15/71,271.84
  6. Step 6: Final answer
    x = 28,023.38

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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.