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Finding the Fourth Proportional to 120,262.89, 165,960.34 and 66,547.89

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Solution

The fourth proportional to 120,262.89, 165,960.34 and 66,547.89 is: 91,834.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,262.89 : 165,960.34 = 66,547.89 : x
  2. Step 2: Convert to fraction form
    120,262.89/165,960.34 = 66,547.89/x
  3. Step 3: Cross multiply
    120,262.89x = 165,960.34 × 66,547.89
  4. Step 4: Simplify right side
    120,262.89x = 11,044,310,284.31
  5. Step 5: Solve for x
    x = 11,044,310,284.31/120,262.89
  6. Step 6: Final answer
    x = 91,834.73

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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.