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Finding the Fourth Proportional to 133,490.76, 184,283.90 and 76,891.20

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Solution

The fourth proportional to 133,490.76, 184,283.90 and 76,891.20 is: 106,148.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,490.76 : 184,283.90 = 76,891.20 : x
  2. Step 2: Convert to fraction form
    133,490.76/184,283.90 = 76,891.20/x
  3. Step 3: Cross multiply
    133,490.76x = 184,283.90 × 76,891.20
  4. Step 4: Simplify right side
    133,490.76x = 14,169,810,211.68
  5. Step 5: Solve for x
    x = 14,169,810,211.68/133,490.76
  6. Step 6: Final answer
    x = 106,148.25

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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.