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Finding the Fourth Proportional to 52,407.92, 78,610.94 and 12,965.03

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Solution

The fourth proportional to 52,407.92, 78,610.94 and 12,965.03 is: 19,447.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,407.92 : 78,610.94 = 12,965.03 : x
  2. Step 2: Convert to fraction form
    52,407.92/78,610.94 = 12,965.03/x
  3. Step 3: Cross multiply
    52,407.92x = 78,610.94 × 12,965.03
  4. Step 4: Simplify right side
    52,407.92x = 1,019,192,834.79
  5. Step 5: Solve for x
    x = 1,019,192,834.79/52,407.92
  6. Step 6: Final answer
    x = 19,447.31

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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.