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Finding the Fourth Proportional to 131,649.40, 197,474.10 and 105,405.40

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Solution

The fourth proportional to 131,649.40, 197,474.10 and 105,405.40 is: 158,108.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,649.40 : 197,474.10 = 105,405.40 : x
  2. Step 2: Convert to fraction form
    131,649.40/197,474.10 = 105,405.40/x
  3. Step 3: Cross multiply
    131,649.40x = 197,474.10 × 105,405.40
  4. Step 4: Simplify right side
    131,649.40x = 20,814,836,500.14
  5. Step 5: Solve for x
    x = 20,814,836,500.14/131,649.40
  6. Step 6: Final answer
    x = 158,108.10

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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.