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Finding the Fourth Proportional to 78,884.86, 117,967.92 and 58,908.38

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Solution

The fourth proportional to 78,884.86, 117,967.92 and 58,908.38 is: 88,094.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,884.86 : 117,967.92 = 58,908.38 : x
  2. Step 2: Convert to fraction form
    78,884.86/117,967.92 = 58,908.38/x
  3. Step 3: Cross multiply
    78,884.86x = 117,967.92 × 58,908.38
  4. Step 4: Simplify right side
    78,884.86x = 6,949,299,059.17
  5. Step 5: Solve for x
    x = 6,949,299,059.17/78,884.86
  6. Step 6: Final answer
    x = 88,094.21

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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.