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Finding the Fourth Proportional to 76,080.06, 104,978.43 and 49,223.70

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Solution

The fourth proportional to 76,080.06, 104,978.43 and 49,223.70 is: 67,920.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,080.06 : 104,978.43 = 49,223.70 : x
  2. Step 2: Convert to fraction form
    76,080.06/104,978.43 = 49,223.70/x
  3. Step 3: Cross multiply
    76,080.06x = 104,978.43 × 49,223.70
  4. Step 4: Simplify right side
    76,080.06x = 5,167,426,744.79
  5. Step 5: Solve for x
    x = 5,167,426,744.79/76,080.06
  6. Step 6: Final answer
    x = 67,920.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.