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Finding the Fourth Proportional to 43,014, 64,542.87 and 19,645.92

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Solution

The fourth proportional to 43,014, 64,542.87 and 19,645.92 is: 29,478.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,014 : 64,542.87 = 19,645.92 : x
  2. Step 2: Convert to fraction form
    43,014/64,542.87 = 19,645.92/x
  3. Step 3: Cross multiply
    43,014x = 64,542.87 × 19,645.92
  4. Step 4: Simplify right side
    43,014x = 1,268,004,060.59
  5. Step 5: Solve for x
    x = 1,268,004,060.59/43,014
  6. Step 6: Final answer
    x = 29,478.87

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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.