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Finding the Fourth Proportional to 133,309.60, 183,972.80 and 76,721.12

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Solution

The fourth proportional to 133,309.60, 183,972.80 and 76,721.12 is: 105,878.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,309.60 : 183,972.80 = 76,721.12 : x
  2. Step 2: Convert to fraction form
    133,309.60/183,972.80 = 76,721.12/x
  3. Step 3: Cross multiply
    133,309.60x = 183,972.80 × 76,721.12
  4. Step 4: Simplify right side
    133,309.60x = 14,114,599,265.54
  5. Step 5: Solve for x
    x = 14,114,599,265.54/133,309.60
  6. Step 6: Final answer
    x = 105,878.34

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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.