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Finding the Fourth Proportional to 70,602.26, 105,917.96 and 20,683.98

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Solution

The fourth proportional to 70,602.26, 105,917.96 and 20,683.98 is: 31,030.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,602.26 : 105,917.96 = 20,683.98 : x
  2. Step 2: Convert to fraction form
    70,602.26/105,917.96 = 20,683.98/x
  3. Step 3: Cross multiply
    70,602.26x = 105,917.96 × 20,683.98
  4. Step 4: Simplify right side
    70,602.26x = 2,190,805,017.99
  5. Step 5: Solve for x
    x = 2,190,805,017.99/70,602.26
  6. Step 6: Final answer
    x = 31,030.24

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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.