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Finding the Fourth Proportional to 253,141.41, 349,331.31 and 138,420.42

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Solution

The fourth proportional to 253,141.41, 349,331.31 and 138,420.42 is: 191,018.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,141.41 : 349,331.31 = 138,420.42 : x
  2. Step 2: Convert to fraction form
    253,141.41/349,331.31 = 138,420.42/x
  3. Step 3: Cross multiply
    253,141.41x = 349,331.31 × 138,420.42
  4. Step 4: Simplify right side
    253,141.41x = 48,354,586,649.35
  5. Step 5: Solve for x
    x = 48,354,586,649.35/253,141.41
  6. Step 6: Final answer
    x = 191,018.08

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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.