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Finding the Fourth Proportional to 131,411.20, 197,116.80 and 96,419.20

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Solution

The fourth proportional to 131,411.20, 197,116.80 and 96,419.20 is: 144,628.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,411.20 : 197,116.80 = 96,419.20 : x
  2. Step 2: Convert to fraction form
    131,411.20/197,116.80 = 96,419.20/x
  3. Step 3: Cross multiply
    131,411.20x = 197,116.80 × 96,419.20
  4. Step 4: Simplify right side
    131,411.20x = 19,005,844,162.56
  5. Step 5: Solve for x
    x = 19,005,844,162.56/131,411.20
  6. Step 6: Final answer
    x = 144,628.80

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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.