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Finding the Fourth Proportional to 71,965.76, 99,312.84 and 39,699.64

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Solution

The fourth proportional to 71,965.76, 99,312.84 and 39,699.64 is: 54,785.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,965.76 : 99,312.84 = 39,699.64 : x
  2. Step 2: Convert to fraction form
    71,965.76/99,312.84 = 39,699.64/x
  3. Step 3: Cross multiply
    71,965.76x = 99,312.84 × 39,699.64
  4. Step 4: Simplify right side
    71,965.76x = 3,942,683,995.38
  5. Step 5: Solve for x
    x = 3,942,683,995.38/71,965.76
  6. Step 6: Final answer
    x = 54,785.55

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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.