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Finding the Fourth Proportional to 159,021.30, 238,441.23 and 65,415.54

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Solution

The fourth proportional to 159,021.30, 238,441.23 and 65,415.54 is: 98,085.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,021.30 : 238,441.23 = 65,415.54 : x
  2. Step 2: Convert to fraction form
    159,021.30/238,441.23 = 65,415.54/x
  3. Step 3: Cross multiply
    159,021.30x = 238,441.23 × 65,415.54
  4. Step 4: Simplify right side
    159,021.30x = 15,597,761,818.71
  5. Step 5: Solve for x
    x = 15,597,761,818.71/159,021.30
  6. Step 6: Final answer
    x = 98,085.99

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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.