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Finding the Fourth Proportional to 211,856.16, 317,783.84 and 54,084.56

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Solution

The fourth proportional to 211,856.16, 317,783.84 and 54,084.56 is: 81,126.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,856.16 : 317,783.84 = 54,084.56 : x
  2. Step 2: Convert to fraction form
    211,856.16/317,783.84 = 54,084.56/x
  3. Step 3: Cross multiply
    211,856.16x = 317,783.84 × 54,084.56
  4. Step 4: Simplify right side
    211,856.16x = 17,187,199,161.51
  5. Step 5: Solve for x
    x = 17,187,199,161.51/211,856.16
  6. Step 6: Final answer
    x = 81,126.74

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