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Finding the Fourth Proportional to 199,309.48, 275,053.68 and 118,726

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Solution

The fourth proportional to 199,309.48, 275,053.68 and 118,726 is: 163,845.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,309.48 : 275,053.68 = 118,726 : x
  2. Step 2: Convert to fraction form
    199,309.48/275,053.68 = 118,726/x
  3. Step 3: Cross multiply
    199,309.48x = 275,053.68 × 118,726
  4. Step 4: Simplify right side
    199,309.48x = 32,656,023,211.68
  5. Step 5: Solve for x
    x = 32,656,023,211.68/199,309.48
  6. Step 6: Final answer
    x = 163,845.81

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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.