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Finding the Fourth Proportional to 251,055.59, 346,459.41 and 137,878.34

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Solution

The fourth proportional to 251,055.59, 346,459.41 and 137,878.34 is: 190,273.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,055.59 : 346,459.41 = 137,878.34 : x
  2. Step 2: Convert to fraction form
    251,055.59/346,459.41 = 137,878.34/x
  3. Step 3: Cross multiply
    251,055.59x = 346,459.41 × 137,878.34
  4. Step 4: Simplify right side
    251,055.59x = 47,769,246,595.88
  5. Step 5: Solve for x
    x = 47,769,246,595.88/251,055.59
  6. Step 6: Final answer
    x = 190,273.59

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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.