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Finding the Fourth Proportional to 76,888, 106,105.60 and 43,355.20

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Solution

The fourth proportional to 76,888, 106,105.60 and 43,355.20 is: 59,830.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,888 : 106,105.60 = 43,355.20 : x
  2. Step 2: Convert to fraction form
    76,888/106,105.60 = 43,355.20/x
  3. Step 3: Cross multiply
    76,888x = 106,105.60 × 43,355.20
  4. Step 4: Simplify right side
    76,888x = 4,600,229,509.12
  5. Step 5: Solve for x
    x = 4,600,229,509.12/76,888
  6. Step 6: Final answer
    x = 59,830.27

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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.