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Finding the Fourth Proportional to 251,443.84, 346,978.02 and 138,266.68

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Solution

The fourth proportional to 251,443.84, 346,978.02 and 138,266.68 is: 190,800.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,443.84 : 346,978.02 = 138,266.68 : x
  2. Step 2: Convert to fraction form
    251,443.84/346,978.02 = 138,266.68/x
  3. Step 3: Cross multiply
    251,443.84x = 346,978.02 × 138,266.68
  4. Step 4: Simplify right side
    251,443.84x = 47,975,498,858.37
  5. Step 5: Solve for x
    x = 47,975,498,858.37/251,443.84
  6. Step 6: Final answer
    x = 190,800.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.