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Finding the Fourth Proportional to 137,060.40, 205,936.20 and 87,164.40

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Solution

The fourth proportional to 137,060.40, 205,936.20 and 87,164.40 is: 130,966.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,060.40 : 205,936.20 = 87,164.40 : x
  2. Step 2: Convert to fraction form
    137,060.40/205,936.20 = 87,164.40/x
  3. Step 3: Cross multiply
    137,060.40x = 205,936.20 × 87,164.40
  4. Step 4: Simplify right side
    137,060.40x = 17,950,305,311.28
  5. Step 5: Solve for x
    x = 17,950,305,311.28/137,060.40
  6. Step 6: Final answer
    x = 130,966.39

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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.