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Finding the Fourth Proportional to 70,489.28, 105,709.44 and 28,356.86

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Solution

The fourth proportional to 70,489.28, 105,709.44 and 28,356.86 is: 42,525.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,489.28 : 105,709.44 = 28,356.86 : x
  2. Step 2: Convert to fraction form
    70,489.28/105,709.44 = 28,356.86/x
  3. Step 3: Cross multiply
    70,489.28x = 105,709.44 × 28,356.86
  4. Step 4: Simplify right side
    70,489.28x = 2,997,587,790.76
  5. Step 5: Solve for x
    x = 2,997,587,790.76/70,489.28
  6. Step 6: Final answer
    x = 42,525.44

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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.