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Finding the Fourth Proportional to 211,153.92, 316,692.60 and 84,789.06

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Solution

The fourth proportional to 211,153.92, 316,692.60 and 84,789.06 is: 127,168.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,153.92 : 316,692.60 = 84,789.06 : x
  2. Step 2: Convert to fraction form
    211,153.92/316,692.60 = 84,789.06/x
  3. Step 3: Cross multiply
    211,153.92x = 316,692.60 × 84,789.06
  4. Step 4: Simplify right side
    211,153.92x = 26,852,067,862.96
  5. Step 5: Solve for x
    x = 26,852,067,862.96/211,153.92
  6. Step 6: Final answer
    x = 127,168.22

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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.