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Finding the Fourth Proportional to 186,172.96, 279,258.48 and 75,364

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Solution

The fourth proportional to 186,172.96, 279,258.48 and 75,364 is: 113,045.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,172.96 : 279,258.48 = 75,364 : x
  2. Step 2: Convert to fraction form
    186,172.96/279,258.48 = 75,364/x
  3. Step 3: Cross multiply
    186,172.96x = 279,258.48 × 75,364
  4. Step 4: Simplify right side
    186,172.96x = 21,046,036,086.72
  5. Step 5: Solve for x
    x = 21,046,036,086.72/186,172.96
  6. Step 6: Final answer
    x = 113,045.61

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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.