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Finding the Fourth Proportional to 211,100.32, 316,690.32 and 84,750.46

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Solution

The fourth proportional to 211,100.32, 316,690.32 and 84,750.46 is: 127,141.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,100.32 : 316,690.32 = 84,750.46 : x
  2. Step 2: Convert to fraction form
    211,100.32/316,690.32 = 84,750.46/x
  3. Step 3: Cross multiply
    211,100.32x = 316,690.32 × 84,750.46
  4. Step 4: Simplify right side
    211,100.32x = 26,839,650,297.55
  5. Step 5: Solve for x
    x = 26,839,650,297.55/211,100.32
  6. Step 6: Final answer
    x = 127,141.68

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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.