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Finding the Fourth Proportional to 73,208.72, 109,731 and 52,144.40

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Solution

The fourth proportional to 73,208.72, 109,731 and 52,144.40 is: 78,158.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,208.72 : 109,731 = 52,144.40 : x
  2. Step 2: Convert to fraction form
    73,208.72/109,731 = 52,144.40/x
  3. Step 3: Cross multiply
    73,208.72x = 109,731 × 52,144.40
  4. Step 4: Simplify right side
    73,208.72x = 5,721,857,156.40
  5. Step 5: Solve for x
    x = 5,721,857,156.40/73,208.72
  6. Step 6: Final answer
    x = 78,158.14

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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.