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Finding the Fourth Proportional to 149,058.66, 205,682.26 and 100,765.66

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Solution

The fourth proportional to 149,058.66, 205,682.26 and 100,765.66 is: 139,043.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,058.66 : 205,682.26 = 100,765.66 : x
  2. Step 2: Convert to fraction form
    149,058.66/205,682.26 = 100,765.66/x
  3. Step 3: Cross multiply
    149,058.66x = 205,682.26 × 100,765.66
  4. Step 4: Simplify right side
    149,058.66x = 20,725,708,679.19
  5. Step 5: Solve for x
    x = 20,725,708,679.19/149,058.66
  6. Step 6: Final answer
    x = 139,043.98

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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.