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Finding the Fourth Proportional to 186,573.67, 279,968.92 and 78,495.12

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Solution

The fourth proportional to 186,573.67, 279,968.92 and 78,495.12 is: 117,788.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,573.67 : 279,968.92 = 78,495.12 : x
  2. Step 2: Convert to fraction form
    186,573.67/279,968.92 = 78,495.12/x
  3. Step 3: Cross multiply
    186,573.67x = 279,968.92 × 78,495.12
  4. Step 4: Simplify right side
    186,573.67x = 21,976,193,971.67
  5. Step 5: Solve for x
    x = 21,976,193,971.67/186,573.67
  6. Step 6: Final answer
    x = 117,788.29

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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.