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Finding the Fourth Proportional to 210,942.80, 316,230.52 and 86,204.24

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Solution

The fourth proportional to 210,942.80, 316,230.52 and 86,204.24 is: 129,231.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,942.80 : 316,230.52 = 86,204.24 : x
  2. Step 2: Convert to fraction form
    210,942.80/316,230.52 = 86,204.24/x
  3. Step 3: Cross multiply
    210,942.80x = 316,230.52 × 86,204.24
  4. Step 4: Simplify right side
    210,942.80x = 27,260,411,641.40
  5. Step 5: Solve for x
    x = 27,260,411,641.40/210,942.80
  6. Step 6: Final answer
    x = 129,231.30

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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.