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Finding the Fourth Proportional to 70,472.92, 105,699.12 and 20,539.61

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Solution

The fourth proportional to 70,472.92, 105,699.12 and 20,539.61 is: 30,806.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,472.92 : 105,699.12 = 20,539.61 : x
  2. Step 2: Convert to fraction form
    70,472.92/105,699.12 = 20,539.61/x
  3. Step 3: Cross multiply
    70,472.92x = 105,699.12 × 20,539.61
  4. Step 4: Simplify right side
    70,472.92x = 2,171,018,702.14
  5. Step 5: Solve for x
    x = 2,171,018,702.14/70,472.92
  6. Step 6: Final answer
    x = 30,806.42

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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.