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Finding the Fourth Proportional to 51,200.98, 70,658.85 and 29,978.26

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Solution

The fourth proportional to 51,200.98, 70,658.85 and 29,978.26 is: 41,370.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,200.98 : 70,658.85 = 29,978.26 : x
  2. Step 2: Convert to fraction form
    51,200.98/70,658.85 = 29,978.26/x
  3. Step 3: Cross multiply
    51,200.98x = 70,658.85 × 29,978.26
  4. Step 4: Simplify right side
    51,200.98x = 2,118,229,376.60
  5. Step 5: Solve for x
    x = 2,118,229,376.60/51,200.98
  6. Step 6: Final answer
    x = 41,370.88

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1.5x scale

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.