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Finding the Fourth Proportional to 71,812.32, 99,097.20 and 39,975.54

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Solution

The fourth proportional to 71,812.32, 99,097.20 and 39,975.54 is: 55,164.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,812.32 : 99,097.20 = 39,975.54 : x
  2. Step 2: Convert to fraction form
    71,812.32/99,097.20 = 39,975.54/x
  3. Step 3: Cross multiply
    71,812.32x = 99,097.20 × 39,975.54
  4. Step 4: Simplify right side
    71,812.32x = 3,961,464,082.49
  5. Step 5: Solve for x
    x = 3,961,464,082.49/71,812.32
  6. Step 6: Final answer
    x = 55,164.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.