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Finding the Fourth Proportional to 78,265.39, 117,407.19 and 28,369

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Solution

The fourth proportional to 78,265.39, 117,407.19 and 28,369 is: 42,556.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,265.39 : 117,407.19 = 28,369 : x
  2. Step 2: Convert to fraction form
    78,265.39/117,407.19 = 28,369/x
  3. Step 3: Cross multiply
    78,265.39x = 117,407.19 × 28,369
  4. Step 4: Simplify right side
    78,265.39x = 3,330,724,573.11
  5. Step 5: Solve for x
    x = 3,330,724,573.11/78,265.39
  6. Step 6: Final answer
    x = 42,556.80

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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.