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Finding the Fourth Proportional to 186,572.92, 279,967.79 and 78,494.37

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Solution

The fourth proportional to 186,572.92, 279,967.79 and 78,494.37 is: 117,787.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,572.92 : 279,967.79 = 78,494.37 : x
  2. Step 2: Convert to fraction form
    186,572.92/279,967.79 = 78,494.37/x
  3. Step 3: Cross multiply
    186,572.92x = 279,967.79 × 78,494.37
  4. Step 4: Simplify right side
    186,572.92x = 21,975,894,442.70
  5. Step 5: Solve for x
    x = 21,975,894,442.70/186,572.92
  6. Step 6: Final answer
    x = 117,787.16

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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.