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Finding the Fourth Proportional to 70,104, 105,156.72 and 20,856

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Solution

The fourth proportional to 70,104, 105,156.72 and 20,856 is: 31,284.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,104 : 105,156.72 = 20,856 : x
  2. Step 2: Convert to fraction form
    70,104/105,156.72 = 20,856/x
  3. Step 3: Cross multiply
    70,104x = 105,156.72 × 20,856
  4. Step 4: Simplify right side
    70,104x = 2,193,148,552.32
  5. Step 5: Solve for x
    x = 2,193,148,552.32/70,104
  6. Step 6: Final answer
    x = 31,284.21

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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.