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Finding the Fourth Proportional to 70,431.28, 105,641.64 and 20,511.76

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Solution

The fourth proportional to 70,431.28, 105,641.64 and 20,511.76 is: 30,766.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,431.28 : 105,641.64 = 20,511.76 : x
  2. Step 2: Convert to fraction form
    70,431.28/105,641.64 = 20,511.76/x
  3. Step 3: Cross multiply
    70,431.28x = 105,641.64 × 20,511.76
  4. Step 4: Simplify right side
    70,431.28x = 2,166,895,965.69
  5. Step 5: Solve for x
    x = 2,166,895,965.69/70,431.28
  6. Step 6: Final answer
    x = 30,766.10

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1.5x scale

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.