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Finding the Fourth Proportional to 128,170.66, 192,297.12 and 61,615.66

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Solution

The fourth proportional to 128,170.66, 192,297.12 and 61,615.66 is: 92,443.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,170.66 : 192,297.12 = 61,615.66 : x
  2. Step 2: Convert to fraction form
    128,170.66/192,297.12 = 61,615.66/x
  3. Step 3: Cross multiply
    128,170.66x = 192,297.12 × 61,615.66
  4. Step 4: Simplify right side
    128,170.66x = 11,848,513,964.90
  5. Step 5: Solve for x
    x = 11,848,513,964.90/128,170.66
  6. Step 6: Final answer
    x = 92,443.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.