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Finding the Fourth Proportional to 78,063.43, 117,095.43 and 18,899

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Solution

The fourth proportional to 78,063.43, 117,095.43 and 18,899 is: 28,348.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,063.43 : 117,095.43 = 18,899 : x
  2. Step 2: Convert to fraction form
    78,063.43/117,095.43 = 18,899/x
  3. Step 3: Cross multiply
    78,063.43x = 117,095.43 × 18,899
  4. Step 4: Simplify right side
    78,063.43x = 2,212,986,531.57
  5. Step 5: Solve for x
    x = 2,212,986,531.57/78,063.43
  6. Step 6: Final answer
    x = 28,348.57

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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.