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Finding the Fourth Proportional to 151,454.84, 208,973.97 and 86,920.11

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Solution

The fourth proportional to 151,454.84, 208,973.97 and 86,920.11 is: 119,930.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,454.84 : 208,973.97 = 86,920.11 : x
  2. Step 2: Convert to fraction form
    151,454.84/208,973.97 = 86,920.11/x
  3. Step 3: Cross multiply
    151,454.84x = 208,973.97 × 86,920.11
  4. Step 4: Simplify right side
    151,454.84x = 18,164,040,459.54
  5. Step 5: Solve for x
    x = 18,164,040,459.54/151,454.84
  6. Step 6: Final answer
    x = 119,930.41

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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.