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Finding the Fourth Proportional to 71,200.20, 106,800.30 and 61,984.20

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Solution

The fourth proportional to 71,200.20, 106,800.30 and 61,984.20 is: 92,976.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,200.20 : 106,800.30 = 61,984.20 : x
  2. Step 2: Convert to fraction form
    71,200.20/106,800.30 = 61,984.20/x
  3. Step 3: Cross multiply
    71,200.20x = 106,800.30 × 61,984.20
  4. Step 4: Simplify right side
    71,200.20x = 6,619,931,155.26
  5. Step 5: Solve for x
    x = 6,619,931,155.26/71,200.20
  6. Step 6: Final answer
    x = 92,976.30

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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.