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Finding the Fourth Proportional to 71,394.30, 106,989.05 and 52,527.10

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Solution

The fourth proportional to 71,394.30, 106,989.05 and 52,527.10 is: 78,715.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,394.30 : 106,989.05 = 52,527.10 : x
  2. Step 2: Convert to fraction form
    71,394.30/106,989.05 = 52,527.10/x
  3. Step 3: Cross multiply
    71,394.30x = 106,989.05 × 52,527.10
  4. Step 4: Simplify right side
    71,394.30x = 5,619,824,528.26
  5. Step 5: Solve for x
    x = 5,619,824,528.26/71,394.30
  6. Step 6: Final answer
    x = 78,715.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.