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Finding the Fourth Proportional to 78,709.94, 118,086.87 and 34,340.66

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Solution

The fourth proportional to 78,709.94, 118,086.87 and 34,340.66 is: 51,520.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,709.94 : 118,086.87 = 34,340.66 : x
  2. Step 2: Convert to fraction form
    78,709.94/118,086.87 = 34,340.66/x
  3. Step 3: Cross multiply
    78,709.94x = 118,086.87 × 34,340.66
  4. Step 4: Simplify right side
    78,709.94x = 4,055,181,053.13
  5. Step 5: Solve for x
    x = 4,055,181,053.13/78,709.94
  6. Step 6: Final answer
    x = 51,520.57

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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.