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Finding the Fourth Proportional to 70,403, 97,132.22 and 40,166.60

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Solution

The fourth proportional to 70,403, 97,132.22 and 40,166.60 is: 55,416.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,403 : 97,132.22 = 40,166.60 : x
  2. Step 2: Convert to fraction form
    70,403/97,132.22 = 40,166.60/x
  3. Step 3: Cross multiply
    70,403x = 97,132.22 × 40,166.60
  4. Step 4: Simplify right side
    70,403x = 3,901,471,027.85
  5. Step 5: Solve for x
    x = 3,901,471,027.85/70,403
  6. Step 6: Final answer
    x = 55,416.26

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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.