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Finding the Fourth Proportional to 99,842.96, 137,782.44 and 55,130

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Solution

The fourth proportional to 99,842.96, 137,782.44 and 55,130 is: 76,078.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,842.96 : 137,782.44 = 55,130 : x
  2. Step 2: Convert to fraction form
    99,842.96/137,782.44 = 55,130/x
  3. Step 3: Cross multiply
    99,842.96x = 137,782.44 × 55,130
  4. Step 4: Simplify right side
    99,842.96x = 7,595,945,917.20
  5. Step 5: Solve for x
    x = 7,595,945,917.20/99,842.96
  6. Step 6: Final answer
    x = 76,078.93

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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.