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Finding the Fourth Proportional to 159,692, 239,468.45 and 45,814.68

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Solution

The fourth proportional to 159,692, 239,468.45 and 45,814.68 is: 68,702.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,692 : 239,468.45 = 45,814.68 : x
  2. Step 2: Convert to fraction form
    159,692/239,468.45 = 45,814.68/x
  3. Step 3: Cross multiply
    159,692x = 239,468.45 × 45,814.68
  4. Step 4: Simplify right side
    159,692x = 10,971,170,406.85
  5. Step 5: Solve for x
    x = 10,971,170,406.85/159,692
  6. Step 6: Final answer
    x = 68,702.07

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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.