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Finding the Fourth Proportional to 71,647.96, 106,946.04 and 66,370

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Solution

The fourth proportional to 71,647.96, 106,946.04 and 66,370 is: 99,067.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,647.96 : 106,946.04 = 66,370 : x
  2. Step 2: Convert to fraction form
    71,647.96/106,946.04 = 66,370/x
  3. Step 3: Cross multiply
    71,647.96x = 106,946.04 × 66,370
  4. Step 4: Simplify right side
    71,647.96x = 7,098,008,674.80
  5. Step 5: Solve for x
    x = 7,098,008,674.80/71,647.96
  6. Step 6: Final answer
    x = 99,067.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.