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Finding the Fourth Proportional to 159,309.78, 238,965.21 and 46,991.40

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Solution

The fourth proportional to 159,309.78, 238,965.21 and 46,991.40 is: 70,487.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,309.78 : 238,965.21 = 46,991.40 : x
  2. Step 2: Convert to fraction form
    159,309.78/238,965.21 = 46,991.40/x
  3. Step 3: Cross multiply
    159,309.78x = 238,965.21 × 46,991.40
  4. Step 4: Simplify right side
    159,309.78x = 11,229,309,769.19
  5. Step 5: Solve for x
    x = 11,229,309,769.19/159,309.78
  6. Step 6: Final answer
    x = 70,487.26

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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.