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Finding the Fourth Proportional to 78,597.42, 117,918 and 43,561.68

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Solution

The fourth proportional to 78,597.42, 117,918 and 43,561.68 is: 65,354.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,597.42 : 117,918 = 43,561.68 : x
  2. Step 2: Convert to fraction form
    78,597.42/117,918 = 43,561.68/x
  3. Step 3: Cross multiply
    78,597.42x = 117,918 × 43,561.68
  4. Step 4: Simplify right side
    78,597.42x = 5,136,706,182.24
  5. Step 5: Solve for x
    x = 5,136,706,182.24/78,597.42
  6. Step 6: Final answer
    x = 65,354.64

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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.