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Finding the Fourth Proportional to 78,514, 117,802.48 and 28,597.54

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Solution

The fourth proportional to 78,514, 117,802.48 and 28,597.54 is: 42,907.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,514 : 117,802.48 = 28,597.54 : x
  2. Step 2: Convert to fraction form
    78,514/117,802.48 = 28,597.54/x
  3. Step 3: Cross multiply
    78,514x = 117,802.48 × 28,597.54
  4. Step 4: Simplify right side
    78,514x = 3,368,861,133.90
  5. Step 5: Solve for x
    x = 3,368,861,133.90/78,514
  6. Step 6: Final answer
    x = 42,907.78

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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.