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Finding the Fourth Proportional to 78,539.48, 117,832.44 and 45,283.40

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Solution

The fourth proportional to 78,539.48, 117,832.44 and 45,283.40 is: 67,938.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,539.48 : 117,832.44 = 45,283.40 : x
  2. Step 2: Convert to fraction form
    78,539.48/117,832.44 = 45,283.40/x
  3. Step 3: Cross multiply
    78,539.48x = 117,832.44 × 45,283.40
  4. Step 4: Simplify right side
    78,539.48x = 5,335,853,513.50
  5. Step 5: Solve for x
    x = 5,335,853,513.50/78,539.48
  6. Step 6: Final answer
    x = 67,938.49

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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.