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Finding the Fourth Proportional to 159,616, 239,425.20 and 70,845.64

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Solution

The fourth proportional to 159,616, 239,425.20 and 70,845.64 is: 106,268.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,616 : 239,425.20 = 70,845.64 : x
  2. Step 2: Convert to fraction form
    159,616/239,425.20 = 70,845.64/x
  3. Step 3: Cross multiply
    159,616x = 239,425.20 × 70,845.64
  4. Step 4: Simplify right side
    159,616x = 16,962,231,526.13
  5. Step 5: Solve for x
    x = 16,962,231,526.13/159,616
  6. Step 6: Final answer
    x = 106,268.99

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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.