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Finding the Fourth Proportional to 71,858.41, 99,164.78 and 43,178.55

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Solution

The fourth proportional to 71,858.41, 99,164.78 and 43,178.55 is: 59,586.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,858.41 : 99,164.78 = 43,178.55 : x
  2. Step 2: Convert to fraction form
    71,858.41/99,164.78 = 43,178.55/x
  3. Step 3: Cross multiply
    71,858.41x = 99,164.78 × 43,178.55
  4. Step 4: Simplify right side
    71,858.41x = 4,281,791,519.42
  5. Step 5: Solve for x
    x = 4,281,791,519.42/71,858.41
  6. Step 6: Final answer
    x = 59,586.51

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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.