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Finding the Fourth Proportional to 70,319.50, 105,496.53 and 21,071.50

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Solution

The fourth proportional to 70,319.50, 105,496.53 and 21,071.50 is: 31,612.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,319.50 : 105,496.53 = 21,071.50 : x
  2. Step 2: Convert to fraction form
    70,319.50/105,496.53 = 21,071.50/x
  3. Step 3: Cross multiply
    70,319.50x = 105,496.53 × 21,071.50
  4. Step 4: Simplify right side
    70,319.50x = 2,222,970,131.90
  5. Step 5: Solve for x
    x = 2,222,970,131.90/70,319.50
  6. Step 6: Final answer
    x = 31,612.43

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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.