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Finding the Fourth Proportional to 186,721.80, 280,192.05 and 68,405.10

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Solution

The fourth proportional to 186,721.80, 280,192.05 and 68,405.10 is: 102,647.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,721.80 : 280,192.05 = 68,405.10 : x
  2. Step 2: Convert to fraction form
    186,721.80/280,192.05 = 68,405.10/x
  3. Step 3: Cross multiply
    186,721.80x = 280,192.05 × 68,405.10
  4. Step 4: Simplify right side
    186,721.80x = 19,166,565,199.46
  5. Step 5: Solve for x
    x = 19,166,565,199.46/186,721.80
  6. Step 6: Final answer
    x = 102,647.71

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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.