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Finding the Fourth Proportional to 78,503.86, 117,993.69 and 51,940.45

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Solution

The fourth proportional to 78,503.86, 117,993.69 and 51,940.45 is: 78,068.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,503.86 : 117,993.69 = 51,940.45 : x
  2. Step 2: Convert to fraction form
    78,503.86/117,993.69 = 51,940.45/x
  3. Step 3: Cross multiply
    78,503.86x = 117,993.69 × 51,940.45
  4. Step 4: Simplify right side
    78,503.86x = 6,128,645,060.78
  5. Step 5: Solve for x
    x = 6,128,645,060.78/78,503.86
  6. Step 6: Final answer
    x = 78,068.08

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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.