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Finding the Fourth Proportional to 72,426, 108,634.08 and 19,836

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Solution

The fourth proportional to 72,426, 108,634.08 and 19,836 is: 29,752.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,426 : 108,634.08 = 19,836 : x
  2. Step 2: Convert to fraction form
    72,426/108,634.08 = 19,836/x
  3. Step 3: Cross multiply
    72,426x = 108,634.08 × 19,836
  4. Step 4: Simplify right side
    72,426x = 2,154,865,610.88
  5. Step 5: Solve for x
    x = 2,154,865,610.88/72,426
  6. Step 6: Final answer
    x = 29,752.65

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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.