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Finding the Fourth Proportional to 70,743, 97,625.40 and 40,935

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Solution

The fourth proportional to 70,743, 97,625.40 and 40,935 is: 56,490.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,743 : 97,625.40 = 40,935 : x
  2. Step 2: Convert to fraction form
    70,743/97,625.40 = 40,935/x
  3. Step 3: Cross multiply
    70,743x = 97,625.40 × 40,935
  4. Step 4: Simplify right side
    70,743x = 3,996,295,749
  5. Step 5: Solve for x
    x = 3,996,295,749/70,743
  6. Step 6: Final answer
    x = 56,490.33

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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.