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Finding the Fourth Proportional to 164,128, 226,440.08 and 99,617.56

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Solution

The fourth proportional to 164,128, 226,440.08 and 99,617.56 is: 137,437.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,128 : 226,440.08 = 99,617.56 : x
  2. Step 2: Convert to fraction form
    164,128/226,440.08 = 99,617.56/x
  3. Step 3: Cross multiply
    164,128x = 226,440.08 × 99,617.56
  4. Step 4: Simplify right side
    164,128x = 22,557,408,255.80
  5. Step 5: Solve for x
    x = 22,557,408,255.80/164,128
  6. Step 6: Final answer
    x = 137,437.90

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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.