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Finding the Fourth Proportional to 151,649.52, 209,274.34 and 83,669.36

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Solution

The fourth proportional to 151,649.52, 209,274.34 and 83,669.36 is: 115,462.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,649.52 : 209,274.34 = 83,669.36 : x
  2. Step 2: Convert to fraction form
    151,649.52/209,274.34 = 83,669.36/x
  3. Step 3: Cross multiply
    151,649.52x = 209,274.34 × 83,669.36
  4. Step 4: Simplify right side
    151,649.52x = 17,509,850,092.22
  5. Step 5: Solve for x
    x = 17,509,850,092.22/151,649.52
  6. Step 6: Final answer
    x = 115,462.61

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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.