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Finding the Fourth Proportional to 71,186.51, 106,780.80 and 18,596

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Solution

The fourth proportional to 71,186.51, 106,780.80 and 18,596 is: 27,894.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,186.51 : 106,780.80 = 18,596 : x
  2. Step 2: Convert to fraction form
    71,186.51/106,780.80 = 18,596/x
  3. Step 3: Cross multiply
    71,186.51x = 106,780.80 × 18,596
  4. Step 4: Simplify right side
    71,186.51x = 1,985,695,756.80
  5. Step 5: Solve for x
    x = 1,985,695,756.80/71,186.51
  6. Step 6: Final answer
    x = 27,894.27

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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.