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Finding the Fourth Proportional to 78,207.64, 117,310.24 and 19,042.81

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Solution

The fourth proportional to 78,207.64, 117,310.24 and 19,042.81 is: 28,563.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,207.64 : 117,310.24 = 19,042.81 : x
  2. Step 2: Convert to fraction form
    78,207.64/117,310.24 = 19,042.81/x
  3. Step 3: Cross multiply
    78,207.64x = 117,310.24 × 19,042.81
  4. Step 4: Simplify right side
    78,207.64x = 2,233,916,341.90
  5. Step 5: Solve for x
    x = 2,233,916,341.90/78,207.64
  6. Step 6: Final answer
    x = 28,563.92

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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.