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Finding the Fourth Proportional to 52,409.64, 72,324.90 and 28,536.30

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Solution

The fourth proportional to 52,409.64, 72,324.90 and 28,536.30 is: 39,379.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,409.64 : 72,324.90 = 28,536.30 : x
  2. Step 2: Convert to fraction form
    52,409.64/72,324.90 = 28,536.30/x
  3. Step 3: Cross multiply
    52,409.64x = 72,324.90 × 28,536.30
  4. Step 4: Simplify right side
    52,409.64x = 2,063,885,043.87
  5. Step 5: Solve for x
    x = 2,063,885,043.87/52,409.64
  6. Step 6: Final answer
    x = 39,379.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.