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Finding the Fourth Proportional to 214,129.80, 295,501.50 and 118,638

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Solution

The fourth proportional to 214,129.80, 295,501.50 and 118,638 is: 163,721.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,129.80 : 295,501.50 = 118,638 : x
  2. Step 2: Convert to fraction form
    214,129.80/295,501.50 = 118,638/x
  3. Step 3: Cross multiply
    214,129.80x = 295,501.50 × 118,638
  4. Step 4: Simplify right side
    214,129.80x = 35,057,706,957
  5. Step 5: Solve for x
    x = 35,057,706,957/214,129.80
  6. Step 6: Final answer
    x = 163,721.76

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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.