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Finding the Fourth Proportional to 71,932, 99,265.02 and 40,102.84

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Solution

The fourth proportional to 71,932, 99,265.02 and 40,102.84 is: 55,341.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,932 : 99,265.02 = 40,102.84 : x
  2. Step 2: Convert to fraction form
    71,932/99,265.02 = 40,102.84/x
  3. Step 3: Cross multiply
    71,932x = 99,265.02 × 40,102.84
  4. Step 4: Simplify right side
    71,932x = 3,980,809,214.66
  5. Step 5: Solve for x
    x = 3,980,809,214.66/71,932
  6. Step 6: Final answer
    x = 55,341.28

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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.