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Finding the Fourth Proportional to 84,741.71, 127,064.39 and 65,500.65

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Solution

The fourth proportional to 84,741.71, 127,064.39 and 65,500.65 is: 98,213.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,741.71 : 127,064.39 = 65,500.65 : x
  2. Step 2: Convert to fraction form
    84,741.71/127,064.39 = 65,500.65/x
  3. Step 3: Cross multiply
    84,741.71x = 127,064.39 × 65,500.65
  4. Step 4: Simplify right side
    84,741.71x = 8,322,800,054.98
  5. Step 5: Solve for x
    x = 8,322,800,054.98/84,741.71
  6. Step 6: Final answer
    x = 98,213.74

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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.