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Finding the Fourth Proportional to 77,469.80, 106,902.18 and 43,929.32

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Solution

The fourth proportional to 77,469.80, 106,902.18 and 43,929.32 is: 60,618.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,469.80 : 106,902.18 = 43,929.32 : x
  2. Step 2: Convert to fraction form
    77,469.80/106,902.18 = 43,929.32/x
  3. Step 3: Cross multiply
    77,469.80x = 106,902.18 × 43,929.32
  4. Step 4: Simplify right side
    77,469.80x = 4,696,140,073.92
  5. Step 5: Solve for x
    x = 4,696,140,073.92/77,469.80
  6. Step 6: Final answer
    x = 60,618.98

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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.