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Finding the Fourth Proportional to 136,415.40, 204,623.10 and 114,764.10

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Solution

The fourth proportional to 136,415.40, 204,623.10 and 114,764.10 is: 172,146.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,415.40 : 204,623.10 = 114,764.10 : x
  2. Step 2: Convert to fraction form
    136,415.40/204,623.10 = 114,764.10/x
  3. Step 3: Cross multiply
    136,415.40x = 204,623.10 × 114,764.10
  4. Step 4: Simplify right side
    136,415.40x = 23,483,385,910.71
  5. Step 5: Solve for x
    x = 23,483,385,910.71/136,415.40
  6. Step 6: Final answer
    x = 172,146.15

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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.