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Finding the Fourth Proportional to 194,143.70, 291,225.15 and 100,831.70

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Solution

The fourth proportional to 194,143.70, 291,225.15 and 100,831.70 is: 151,252.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,143.70 : 291,225.15 = 100,831.70 : x
  2. Step 2: Convert to fraction form
    194,143.70/291,225.15 = 100,831.70/x
  3. Step 3: Cross multiply
    194,143.70x = 291,225.15 × 100,831.70
  4. Step 4: Simplify right side
    194,143.70x = 29,364,726,957.26
  5. Step 5: Solve for x
    x = 29,364,726,957.26/194,143.70
  6. Step 6: Final answer
    x = 151,252.54

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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.