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Finding the Fourth Proportional to 169,762.35, 254,394.27 and 85,406.57

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Solution

The fourth proportional to 169,762.35, 254,394.27 and 85,406.57 is: 127,984.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,762.35 : 254,394.27 = 85,406.57 : x
  2. Step 2: Convert to fraction form
    169,762.35/254,394.27 = 85,406.57/x
  3. Step 3: Cross multiply
    169,762.35x = 254,394.27 × 85,406.57
  4. Step 4: Simplify right side
    169,762.35x = 21,726,940,756.38
  5. Step 5: Solve for x
    x = 21,726,940,756.38/169,762.35
  6. Step 6: Final answer
    x = 127,984.45

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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.