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Finding the Fourth Proportional to 136,883.13, 188,894.88 and 76,452

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Solution

The fourth proportional to 136,883.13, 188,894.88 and 76,452 is: 105,501.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,883.13 : 188,894.88 = 76,452 : x
  2. Step 2: Convert to fraction form
    136,883.13/188,894.88 = 76,452/x
  3. Step 3: Cross multiply
    136,883.13x = 188,894.88 × 76,452
  4. Step 4: Simplify right side
    136,883.13x = 14,441,391,365.76
  5. Step 5: Solve for x
    x = 14,441,391,365.76/136,883.13
  6. Step 6: Final answer
    x = 105,501.62

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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.