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Finding the Fourth Proportional to 148,664.64, 223,016.64 and 78,546.72

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Solution

The fourth proportional to 148,664.64, 223,016.64 and 78,546.72 is: 117,830.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,664.64 : 223,016.64 = 78,546.72 : x
  2. Step 2: Convert to fraction form
    148,664.64/223,016.64 = 78,546.72/x
  3. Step 3: Cross multiply
    148,664.64x = 223,016.64 × 78,546.72
  4. Step 4: Simplify right side
    148,664.64x = 17,517,225,577.42
  5. Step 5: Solve for x
    x = 17,517,225,577.42/148,664.64
  6. Step 6: Final answer
    x = 117,830.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.