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Finding the Fourth Proportional to 136,490.64, 204,462.96 and 106,768.48

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Solution

The fourth proportional to 136,490.64, 204,462.96 and 106,768.48 is: 159,939.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,490.64 : 204,462.96 = 106,768.48 : x
  2. Step 2: Convert to fraction form
    136,490.64/204,462.96 = 106,768.48/x
  3. Step 3: Cross multiply
    136,490.64x = 204,462.96 × 106,768.48
  4. Step 4: Simplify right side
    136,490.64x = 21,830,199,455.50
  5. Step 5: Solve for x
    x = 21,830,199,455.50/136,490.64
  6. Step 6: Final answer
    x = 159,939.17

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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.