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Finding the Fourth Proportional to 71,709.12, 98,964.72 and 39,880.08

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Solution

The fourth proportional to 71,709.12, 98,964.72 and 39,880.08 is: 55,037.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,709.12 : 98,964.72 = 39,880.08 : x
  2. Step 2: Convert to fraction form
    71,709.12/98,964.72 = 39,880.08/x
  3. Step 3: Cross multiply
    71,709.12x = 98,964.72 × 39,880.08
  4. Step 4: Simplify right side
    71,709.12x = 3,946,720,950.78
  5. Step 5: Solve for x
    x = 3,946,720,950.78/71,709.12
  6. Step 6: Final answer
    x = 55,037.92

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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.