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Finding the Fourth Proportional to 55,742.86, 76,960.02 and 38,742.04

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Solution

The fourth proportional to 55,742.86, 76,960.02 and 38,742.04 is: 53,488.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,742.86 : 76,960.02 = 38,742.04 : x
  2. Step 2: Convert to fraction form
    55,742.86/76,960.02 = 38,742.04/x
  3. Step 3: Cross multiply
    55,742.86x = 76,960.02 × 38,742.04
  4. Step 4: Simplify right side
    55,742.86x = 2,981,588,173.24
  5. Step 5: Solve for x
    x = 2,981,588,173.24/55,742.86
  6. Step 6: Final answer
    x = 53,488.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.