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Finding the Fourth Proportional to 317,774.64, 476,661.81 and 81,117.25

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Solution

The fourth proportional to 317,774.64, 476,661.81 and 81,117.25 is: 121,675.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,774.64 : 476,661.81 = 81,117.25 : x
  2. Step 2: Convert to fraction form
    317,774.64/476,661.81 = 81,117.25/x
  3. Step 3: Cross multiply
    317,774.64x = 476,661.81 × 81,117.25
  4. Step 4: Simplify right side
    317,774.64x = 38,665,494,015.57
  5. Step 5: Solve for x
    x = 38,665,494,015.57/317,774.64
  6. Step 6: Final answer
    x = 121,675.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.