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Finding the Fourth Proportional to 199,675.73, 299,561.29 and 64,739.86

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Solution

The fourth proportional to 199,675.73, 299,561.29 and 64,739.86 is: 97,125.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,675.73 : 299,561.29 = 64,739.86 : x
  2. Step 2: Convert to fraction form
    199,675.73/299,561.29 = 64,739.86/x
  3. Step 3: Cross multiply
    199,675.73x = 299,561.29 × 64,739.86
  4. Step 4: Simplify right side
    199,675.73x = 19,393,555,065.27
  5. Step 5: Solve for x
    x = 19,393,555,065.27/199,675.73
  6. Step 6: Final answer
    x = 97,125.25

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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.