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Finding the Fourth Proportional to 70,707.26, 105,830.12 and 51,982.34

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Solution

The fourth proportional to 70,707.26, 105,830.12 and 51,982.34 is: 77,803.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,707.26 : 105,830.12 = 51,982.34 : x
  2. Step 2: Convert to fraction form
    70,707.26/105,830.12 = 51,982.34/x
  3. Step 3: Cross multiply
    70,707.26x = 105,830.12 × 51,982.34
  4. Step 4: Simplify right side
    70,707.26x = 5,501,297,280.08
  5. Step 5: Solve for x
    x = 5,501,297,280.08/70,707.26
  6. Step 6: Final answer
    x = 77,803.85

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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.