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Finding the Fourth Proportional to 136,586.64, 188,502 and 82,885.32

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Solution

The fourth proportional to 136,586.64, 188,502 and 82,885.32 is: 114,389.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,586.64 : 188,502 = 82,885.32 : x
  2. Step 2: Convert to fraction form
    136,586.64/188,502 = 82,885.32/x
  3. Step 3: Cross multiply
    136,586.64x = 188,502 × 82,885.32
  4. Step 4: Simplify right side
    136,586.64x = 15,624,048,590.64
  5. Step 5: Solve for x
    x = 15,624,048,590.64/136,586.64
  6. Step 6: Final answer
    x = 114,389.29

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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.