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Finding the Fourth Proportional to 77,336.78, 106,733.32 and 43,350.80

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Solution

The fourth proportional to 77,336.78, 106,733.32 and 43,350.80 is: 59,828.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,336.78 : 106,733.32 = 43,350.80 : x
  2. Step 2: Convert to fraction form
    77,336.78/106,733.32 = 43,350.80/x
  3. Step 3: Cross multiply
    77,336.78x = 106,733.32 × 43,350.80
  4. Step 4: Simplify right side
    77,336.78x = 4,626,974,808.66
  5. Step 5: Solve for x
    x = 4,626,974,808.66/77,336.78
  6. Step 6: Final answer
    x = 59,828.90

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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.