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Finding the Fourth Proportional to 159,427.60, 239,141.40 and 109,661.20

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Solution

The fourth proportional to 159,427.60, 239,141.40 and 109,661.20 is: 164,491.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,427.60 : 239,141.40 = 109,661.20 : x
  2. Step 2: Convert to fraction form
    159,427.60/239,141.40 = 109,661.20/x
  3. Step 3: Cross multiply
    159,427.60x = 239,141.40 × 109,661.20
  4. Step 4: Simplify right side
    159,427.60x = 26,224,532,893.68
  5. Step 5: Solve for x
    x = 26,224,532,893.68/159,427.60
  6. Step 6: Final answer
    x = 164,491.80

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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.