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Finding the Fourth Proportional to 78,834.30, 118,021.05 and 76,530.30

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Solution

The fourth proportional to 78,834.30, 118,021.05 and 76,530.30 is: 114,571.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,834.30 : 118,021.05 = 76,530.30 : x
  2. Step 2: Convert to fraction form
    78,834.30/118,021.05 = 76,530.30/x
  3. Step 3: Cross multiply
    78,834.30x = 118,021.05 × 76,530.30
  4. Step 4: Simplify right side
    78,834.30x = 9,032,186,362.82
  5. Step 5: Solve for x
    x = 9,032,186,362.82/78,834.30
  6. Step 6: Final answer
    x = 114,571.78

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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.