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Finding the Fourth Proportional to 74,449.58, 102,739.45 and 40,459.16

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Solution

The fourth proportional to 74,449.58, 102,739.45 and 40,459.16 is: 55,833.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,449.58 : 102,739.45 = 40,459.16 : x
  2. Step 2: Convert to fraction form
    74,449.58/102,739.45 = 40,459.16/x
  3. Step 3: Cross multiply
    74,449.58x = 102,739.45 × 40,459.16
  4. Step 4: Simplify right side
    74,449.58x = 4,156,751,700.89
  5. Step 5: Solve for x
    x = 4,156,751,700.89/74,449.58
  6. Step 6: Final answer
    x = 55,833.11

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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.