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Finding the Fourth Proportional to 211,847.07, 317,766.48 and 85,483.96

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Solution

The fourth proportional to 211,847.07, 317,766.48 and 85,483.96 is: 128,224.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,847.07 : 317,766.48 = 85,483.96 : x
  2. Step 2: Convert to fraction form
    211,847.07/317,766.48 = 85,483.96/x
  3. Step 3: Cross multiply
    211,847.07x = 317,766.48 × 85,483.96
  4. Step 4: Simplify right side
    211,847.07x = 27,163,937,065.66
  5. Step 5: Solve for x
    x = 27,163,937,065.66/211,847.07
  6. Step 6: Final answer
    x = 128,224.28

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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.