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Finding the Fourth Proportional to 159,311.42, 238,967.14 and 65,819.60

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Solution

The fourth proportional to 159,311.42, 238,967.14 and 65,819.60 is: 98,729.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,311.42 : 238,967.14 = 65,819.60 : x
  2. Step 2: Convert to fraction form
    159,311.42/238,967.14 = 65,819.60/x
  3. Step 3: Cross multiply
    159,311.42x = 238,967.14 × 65,819.60
  4. Step 4: Simplify right side
    159,311.42x = 15,728,721,567.94
  5. Step 5: Solve for x
    x = 15,728,721,567.94/159,311.42
  6. Step 6: Final answer
    x = 98,729.40

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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.