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Finding the Fourth Proportional to 71,999, 99,358.35 and 40,166

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Solution

The fourth proportional to 71,999, 99,358.35 and 40,166 is: 55,428.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,999 : 99,358.35 = 40,166 : x
  2. Step 2: Convert to fraction form
    71,999/99,358.35 = 40,166/x
  3. Step 3: Cross multiply
    71,999x = 99,358.35 × 40,166
  4. Step 4: Simplify right side
    71,999x = 3,990,827,486.10
  5. Step 5: Solve for x
    x = 3,990,827,486.10/71,999
  6. Step 6: Final answer
    x = 55,428.93

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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.