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Finding the Fourth Proportional to 129,902.57, 194,831.89 and 36,386.81

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Solution

The fourth proportional to 129,902.57, 194,831.89 and 36,386.81 is: 54,574.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,902.57 : 194,831.89 = 36,386.81 : x
  2. Step 2: Convert to fraction form
    129,902.57/194,831.89 = 36,386.81/x
  3. Step 3: Cross multiply
    129,902.57x = 194,831.89 × 36,386.81
  4. Step 4: Simplify right side
    129,902.57x = 7,089,309,898.24
  5. Step 5: Solve for x
    x = 7,089,309,898.24/129,902.57
  6. Step 6: Final answer
    x = 54,574.06

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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.