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Finding the Fourth Proportional to 71,187.01, 106,781.55 and 18,596.50

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Solution

The fourth proportional to 71,187.01, 106,781.55 and 18,596.50 is: 27,895.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,187.01 : 106,781.55 = 18,596.50 : x
  2. Step 2: Convert to fraction form
    71,187.01/106,781.55 = 18,596.50/x
  3. Step 3: Cross multiply
    71,187.01x = 106,781.55 × 18,596.50
  4. Step 4: Simplify right side
    71,187.01x = 1,985,763,094.58
  5. Step 5: Solve for x
    x = 1,985,763,094.58/71,187.01
  6. Step 6: Final answer
    x = 27,895.02

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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.