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Finding the Fourth Proportional to 159,237.60, 238,856.40 and 109,471.20

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Solution

The fourth proportional to 159,237.60, 238,856.40 and 109,471.20 is: 164,206.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,237.60 : 238,856.40 = 109,471.20 : x
  2. Step 2: Convert to fraction form
    159,237.60/238,856.40 = 109,471.20/x
  3. Step 3: Cross multiply
    159,237.60x = 238,856.40 × 109,471.20
  4. Step 4: Simplify right side
    159,237.60x = 26,147,896,735.68
  5. Step 5: Solve for x
    x = 26,147,896,735.68/159,237.60
  6. Step 6: Final answer
    x = 164,206.80

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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.