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Finding the Fourth Proportional to 70,499, 97,297.26 and 40,691

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Solution

The fourth proportional to 70,499, 97,297.26 and 40,691 is: 56,158.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,499 : 97,297.26 = 40,691 : x
  2. Step 2: Convert to fraction form
    70,499/97,297.26 = 40,691/x
  3. Step 3: Cross multiply
    70,499x = 97,297.26 × 40,691
  4. Step 4: Simplify right side
    70,499x = 3,959,122,806.66
  5. Step 5: Solve for x
    x = 3,959,122,806.66/70,499
  6. Step 6: Final answer
    x = 56,158.57

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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.