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Finding the Fourth Proportional to 159,916.80, 239,529.60 and 142,406.40

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Solution

The fourth proportional to 159,916.80, 239,529.60 and 142,406.40 is: 213,301.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,916.80 : 239,529.60 = 142,406.40 : x
  2. Step 2: Convert to fraction form
    159,916.80/239,529.60 = 142,406.40/x
  3. Step 3: Cross multiply
    159,916.80x = 239,529.60 × 142,406.40
  4. Step 4: Simplify right side
    159,916.80x = 34,110,548,029.44
  5. Step 5: Solve for x
    x = 34,110,548,029.44/159,916.80
  6. Step 6: Final answer
    x = 213,301.84

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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.