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Finding the Fourth Proportional to 70,057.16, 105,133.34 and 28,511.72

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Solution

The fourth proportional to 70,057.16, 105,133.34 and 28,511.72 is: 42,786.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,057.16 : 105,133.34 = 28,511.72 : x
  2. Step 2: Convert to fraction form
    70,057.16/105,133.34 = 28,511.72/x
  3. Step 3: Cross multiply
    70,057.16x = 105,133.34 × 28,511.72
  4. Step 4: Simplify right side
    70,057.16x = 2,997,532,352.74
  5. Step 5: Solve for x
    x = 2,997,532,352.74/70,057.16
  6. Step 6: Final answer
    x = 42,786.95

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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.