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Finding the Fourth Proportional to 169,838.31, 254,768.40 and 99,570

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Solution

The fourth proportional to 169,838.31, 254,768.40 and 99,570 is: 149,361.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,838.31 : 254,768.40 = 99,570 : x
  2. Step 2: Convert to fraction form
    169,838.31/254,768.40 = 99,570/x
  3. Step 3: Cross multiply
    169,838.31x = 254,768.40 × 99,570
  4. Step 4: Simplify right side
    169,838.31x = 25,367,289,588
  5. Step 5: Solve for x
    x = 25,367,289,588/169,838.31
  6. Step 6: Final answer
    x = 149,361.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.