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Finding the Fourth Proportional to 186,409.80, 279,593.78 and 51,493.06

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Solution

The fourth proportional to 186,409.80, 279,593.78 and 51,493.06 is: 77,233.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,409.80 : 279,593.78 = 51,493.06 : x
  2. Step 2: Convert to fraction form
    186,409.80/279,593.78 = 51,493.06/x
  3. Step 3: Cross multiply
    186,409.80x = 279,593.78 × 51,493.06
  4. Step 4: Simplify right side
    186,409.80x = 14,397,139,289.17
  5. Step 5: Solve for x
    x = 14,397,139,289.17/186,409.80
  6. Step 6: Final answer
    x = 77,233.81

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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.