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Finding the Fourth Proportional to 252,058.50, 347,841.81 and 138,878.82

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Solution

The fourth proportional to 252,058.50, 347,841.81 and 138,878.82 is: 191,653.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,058.50 : 347,841.81 = 138,878.82 : x
  2. Step 2: Convert to fraction form
    252,058.50/347,841.81 = 138,878.82/x
  3. Step 3: Cross multiply
    252,058.50x = 347,841.81 × 138,878.82
  4. Step 4: Simplify right side
    252,058.50x = 48,307,860,119.46
  5. Step 5: Solve for x
    x = 48,307,860,119.46/252,058.50
  6. Step 6: Final answer
    x = 191,653.37

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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.