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Finding the Fourth Proportional to 74,448.87, 102,739.86 and 40,457.64

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Solution

The fourth proportional to 74,448.87, 102,739.86 and 40,457.64 is: 55,831.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,448.87 : 102,739.86 = 40,457.64 : x
  2. Step 2: Convert to fraction form
    74,448.87/102,739.86 = 40,457.64/x
  3. Step 3: Cross multiply
    74,448.87x = 102,739.86 × 40,457.64
  4. Step 4: Simplify right side
    74,448.87x = 4,156,612,269.53
  5. Step 5: Solve for x
    x = 4,156,612,269.53/74,448.87
  6. Step 6: Final answer
    x = 55,831.77

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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.