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Finding the Fourth Proportional to 159,288.80, 238,933.20 and 142,085.60

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Solution

The fourth proportional to 159,288.80, 238,933.20 and 142,085.60 is: 213,128.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,288.80 : 238,933.20 = 142,085.60 : x
  2. Step 2: Convert to fraction form
    159,288.80/238,933.20 = 142,085.60/x
  3. Step 3: Cross multiply
    159,288.80x = 238,933.20 × 142,085.60
  4. Step 4: Simplify right side
    159,288.80x = 33,948,967,081.92
  5. Step 5: Solve for x
    x = 33,948,967,081.92/159,288.80
  6. Step 6: Final answer
    x = 213,128.40

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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.