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Finding the Fourth Proportional to 251,983, 378,013.40 and 94,233.88

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Solution

The fourth proportional to 251,983, 378,013.40 and 94,233.88 is: 141,365.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,983 : 378,013.40 = 94,233.88 : x
  2. Step 2: Convert to fraction form
    251,983/378,013.40 = 94,233.88/x
  3. Step 3: Cross multiply
    251,983x = 378,013.40 × 94,233.88
  4. Step 4: Simplify right side
    251,983x = 35,621,669,373.99
  5. Step 5: Solve for x
    x = 35,621,669,373.99/251,983
  6. Step 6: Final answer
    x = 141,365.37

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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.