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Finding the Fourth Proportional to 251,811.60, 378,154.80 and 133,713.60

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Solution

The fourth proportional to 251,811.60, 378,154.80 and 133,713.60 is: 200,802.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,811.60 : 378,154.80 = 133,713.60 : x
  2. Step 2: Convert to fraction form
    251,811.60/378,154.80 = 133,713.60/x
  3. Step 3: Cross multiply
    251,811.60x = 378,154.80 × 133,713.60
  4. Step 4: Simplify right side
    251,811.60x = 50,564,439,665.28
  5. Step 5: Solve for x
    x = 50,564,439,665.28/251,811.60
  6. Step 6: Final answer
    x = 200,802.66

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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.