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Finding the Fourth Proportional to 164,419.45, 226,815.21 and 99,871.52

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Solution

The fourth proportional to 164,419.45, 226,815.21 and 99,871.52 is: 137,771.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,419.45 : 226,815.21 = 99,871.52 : x
  2. Step 2: Convert to fraction form
    164,419.45/226,815.21 = 99,871.52/x
  3. Step 3: Cross multiply
    164,419.45x = 226,815.21 × 99,871.52
  4. Step 4: Simplify right side
    164,419.45x = 22,652,378,647.74
  5. Step 5: Solve for x
    x = 22,652,378,647.74/164,419.45
  6. Step 6: Final answer
    x = 137,771.89

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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.