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Finding the Fourth Proportional to 136,922, 205,417.56 and 38,426

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Solution

The fourth proportional to 136,922, 205,417.56 and 38,426 is: 57,648.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,922 : 205,417.56 = 38,426 : x
  2. Step 2: Convert to fraction form
    136,922/205,417.56 = 38,426/x
  3. Step 3: Cross multiply
    136,922x = 205,417.56 × 38,426
  4. Step 4: Simplify right side
    136,922x = 7,893,375,160.56
  5. Step 5: Solve for x
    x = 7,893,375,160.56/136,922
  6. Step 6: Final answer
    x = 57,648.70

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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.