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Finding the Fourth Proportional to 71,188.73, 106,783.10 and 18,598.13

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Solution

The fourth proportional to 71,188.73, 106,783.10 and 18,598.13 is: 27,897.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,188.73 : 106,783.10 = 18,598.13 : x
  2. Step 2: Convert to fraction form
    71,188.73/106,783.10 = 18,598.13/x
  3. Step 3: Cross multiply
    71,188.73x = 106,783.10 × 18,598.13
  4. Step 4: Simplify right side
    71,188.73x = 1,985,965,975.60
  5. Step 5: Solve for x
    x = 1,985,965,975.60/71,188.73
  6. Step 6: Final answer
    x = 27,897.20

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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.