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Finding the Fourth Proportional to 49,789, 74,657.10 and 14,723.80

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Solution

The fourth proportional to 49,789, 74,657.10 and 14,723.80 is: 22,077.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,789 : 74,657.10 = 14,723.80 : x
  2. Step 2: Convert to fraction form
    49,789/74,657.10 = 14,723.80/x
  3. Step 3: Cross multiply
    49,789x = 74,657.10 × 14,723.80
  4. Step 4: Simplify right side
    49,789x = 1,099,236,208.98
  5. Step 5: Solve for x
    x = 1,099,236,208.98/49,789
  6. Step 6: Final answer
    x = 22,077.89

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1.5x scale

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.