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Finding the Fourth Proportional to 157,548.21, 217,341.50 and 106,578.78

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Solution

The fourth proportional to 157,548.21, 217,341.50 and 106,578.78 is: 147,027.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,548.21 : 217,341.50 = 106,578.78 : x
  2. Step 2: Convert to fraction form
    157,548.21/217,341.50 = 106,578.78/x
  3. Step 3: Cross multiply
    157,548.21x = 217,341.50 × 106,578.78
  4. Step 4: Simplify right side
    157,548.21x = 23,163,991,380.48
  5. Step 5: Solve for x
    x = 23,163,991,380.48/157,548.21
  6. Step 6: Final answer
    x = 147,027.96

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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.