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Finding the Fourth Proportional to 70,502, 97,292.76 and 40,694

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Solution

The fourth proportional to 70,502, 97,292.76 and 40,694 is: 56,157.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,502 : 97,292.76 = 40,694 : x
  2. Step 2: Convert to fraction form
    70,502/97,292.76 = 40,694/x
  3. Step 3: Cross multiply
    70,502x = 97,292.76 × 40,694
  4. Step 4: Simplify right side
    70,502x = 3,959,231,575.44
  5. Step 5: Solve for x
    x = 3,959,231,575.44/70,502
  6. Step 6: Final answer
    x = 56,157.72

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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.