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Finding the Fourth Proportional to 70,424, 97,189.44 and 40,616

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Solution

The fourth proportional to 70,424, 97,189.44 and 40,616 is: 56,052.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,424 : 97,189.44 = 40,616 : x
  2. Step 2: Convert to fraction form
    70,424/97,189.44 = 40,616/x
  3. Step 3: Cross multiply
    70,424x = 97,189.44 × 40,616
  4. Step 4: Simplify right side
    70,424x = 3,947,446,295.04
  5. Step 5: Solve for x
    x = 3,947,446,295.04/70,424
  6. Step 6: Final answer
    x = 56,052.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.