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Finding the Fourth Proportional to 211,158.12, 316,734.65 and 84,796.10

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Solution

The fourth proportional to 211,158.12, 316,734.65 and 84,796.10 is: 127,193.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,158.12 : 316,734.65 = 84,796.10 : x
  2. Step 2: Convert to fraction form
    211,158.12/316,734.65 = 84,796.10/x
  3. Step 3: Cross multiply
    211,158.12x = 316,734.65 × 84,796.10
  4. Step 4: Simplify right side
    211,158.12x = 26,857,861,047.21
  5. Step 5: Solve for x
    x = 26,857,861,047.21/211,158.12
  6. Step 6: Final answer
    x = 127,193.12

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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.