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Finding the Fourth Proportional to 100,291.35, 138,398.38 and 54,968.82

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Solution

The fourth proportional to 100,291.35, 138,398.38 and 54,968.82 is: 75,854.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,291.35 : 138,398.38 = 54,968.82 : x
  2. Step 2: Convert to fraction form
    100,291.35/138,398.38 = 54,968.82/x
  3. Step 3: Cross multiply
    100,291.35x = 138,398.38 × 54,968.82
  4. Step 4: Simplify right side
    100,291.35x = 7,607,595,638.51
  5. Step 5: Solve for x
    x = 7,607,595,638.51/100,291.35
  6. Step 6: Final answer
    x = 75,854.95

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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.