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Finding the Fourth Proportional to 130,953.84, 196,516.41 and 71,831.13

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Solution

The fourth proportional to 130,953.84, 196,516.41 and 71,831.13 is: 107,793.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,953.84 : 196,516.41 = 71,831.13 : x
  2. Step 2: Convert to fraction form
    130,953.84/196,516.41 = 71,831.13/x
  3. Step 3: Cross multiply
    130,953.84x = 196,516.41 × 71,831.13
  4. Step 4: Simplify right side
    130,953.84x = 14,115,995,793.84
  5. Step 5: Solve for x
    x = 14,115,995,793.84/130,953.84
  6. Step 6: Final answer
    x = 107,793.68

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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.